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Finding the Third Proportional to 23,449.50 and 51,966.56

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Solution

The third proportional to 23,449.50 and 51,966.56 is: 115,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449.50 : 51,966.56 = 51,966.56 : x
  2. Step 2: Convert to fraction form
    23,449.50/51,966.56 = 51,966.56/x
  3. Step 3: Cross multiply
    23,449.50x = 51,966.56 × 51,966.56
  4. Step 4: Simplify right side
    23,449.50x = 2,700,523,618.07
  5. Step 5: Solve for x
    x = 2,700,523,618.07/23,449.50
  6. Step 6: Final answer
    x = 115,163.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.