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Finding the Third Proportional to 47,149.50 and 62,946.75

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Solution

The third proportional to 47,149.50 and 62,946.75 is: 84,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,149.50 : 62,946.75 = 62,946.75 : x
  2. Step 2: Convert to fraction form
    47,149.50/62,946.75 = 62,946.75/x
  3. Step 3: Cross multiply
    47,149.50x = 62,946.75 × 62,946.75
  4. Step 4: Simplify right side
    47,149.50x = 3,962,293,335.56
  5. Step 5: Solve for x
    x = 3,962,293,335.56/47,149.50
  6. Step 6: Final answer
    x = 84,036.80

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.