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Finding the Third Proportional to 40,447.69 and 62,564.06

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Solution

The third proportional to 40,447.69 and 62,564.06 is: 96,773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,447.69 : 62,564.06 = 62,564.06 : x
  2. Step 2: Convert to fraction form
    40,447.69/62,564.06 = 62,564.06/x
  3. Step 3: Cross multiply
    40,447.69x = 62,564.06 × 62,564.06
  4. Step 4: Simplify right side
    40,447.69x = 3,914,261,916.50
  5. Step 5: Solve for x
    x = 3,914,261,916.50/40,447.69
  6. Step 6: Final answer
    x = 96,773.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.