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Finding the Third Proportional to 40,071 and 62,374.50

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Solution

The third proportional to 40,071 and 62,374.50 is: 97,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,071 : 62,374.50 = 62,374.50 : x
  2. Step 2: Convert to fraction form
    40,071/62,374.50 = 62,374.50/x
  3. Step 3: Cross multiply
    40,071x = 62,374.50 × 62,374.50
  4. Step 4: Simplify right side
    40,071x = 3,890,578,250.25
  5. Step 5: Solve for x
    x = 3,890,578,250.25/40,071
  6. Step 6: Final answer
    x = 97,092.12

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.