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Finding the Third Proportional to 47,752.50 and 61,463.25

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Solution

The third proportional to 47,752.50 and 61,463.25 is: 79,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,752.50 : 61,463.25 = 61,463.25 : x
  2. Step 2: Convert to fraction form
    47,752.50/61,463.25 = 61,463.25/x
  3. Step 3: Cross multiply
    47,752.50x = 61,463.25 × 61,463.25
  4. Step 4: Simplify right side
    47,752.50x = 3,777,731,100.56
  5. Step 5: Solve for x
    x = 3,777,731,100.56/47,752.50
  6. Step 6: Final answer
    x = 79,110.65

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.