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Finding the Third Proportional to 22,709.25 and 54,950.63

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Solution

The third proportional to 22,709.25 and 54,950.63 is: 132,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.25 : 54,950.63 = 54,950.63 : x
  2. Step 2: Convert to fraction form
    22,709.25/54,950.63 = 54,950.63/x
  3. Step 3: Cross multiply
    22,709.25x = 54,950.63 × 54,950.63
  4. Step 4: Simplify right side
    22,709.25x = 3,019,571,187.89
  5. Step 5: Solve for x
    x = 3,019,571,187.89/22,709.25
  6. Step 6: Final answer
    x = 132,966.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.