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Finding the Third Proportional to 40,762.50 and 63,002.25

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Solution

The third proportional to 40,762.50 and 63,002.25 is: 97,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,762.50 : 63,002.25 = 63,002.25 : x
  2. Step 2: Convert to fraction form
    40,762.50/63,002.25 = 63,002.25/x
  3. Step 3: Cross multiply
    40,762.50x = 63,002.25 × 63,002.25
  4. Step 4: Simplify right side
    40,762.50x = 3,969,283,505.06
  5. Step 5: Solve for x
    x = 3,969,283,505.06/40,762.50
  6. Step 6: Final answer
    x = 97,375.86

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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.