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Finding the Third Proportional to 40,429 and 61,459.50

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Solution

The third proportional to 40,429 and 61,459.50 is: 93,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,429 : 61,459.50 = 61,459.50 : x
  2. Step 2: Convert to fraction form
    40,429/61,459.50 = 61,459.50/x
  3. Step 3: Cross multiply
    40,429x = 61,459.50 × 61,459.50
  4. Step 4: Simplify right side
    40,429x = 3,777,270,140.25
  5. Step 5: Solve for x
    x = 3,777,270,140.25/40,429
  6. Step 6: Final answer
    x = 93,429.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.