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Finding the Third Proportional to 22,507.88 and 34,551.56

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Solution

The third proportional to 22,507.88 and 34,551.56 is: 53,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.88 : 34,551.56 = 34,551.56 : x
  2. Step 2: Convert to fraction form
    22,507.88/34,551.56 = 34,551.56/x
  3. Step 3: Cross multiply
    22,507.88x = 34,551.56 × 34,551.56
  4. Step 4: Simplify right side
    22,507.88x = 1,193,810,471.19
  5. Step 5: Solve for x
    x = 1,193,810,471.19/22,507.88
  6. Step 6: Final answer
    x = 53,039.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.