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Finding the Third Proportional to 37,218 and 63,612.75

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Solution

The third proportional to 37,218 and 63,612.75 is: 108,726.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,218 : 63,612.75 = 63,612.75 : x
  2. Step 2: Convert to fraction form
    37,218/63,612.75 = 63,612.75/x
  3. Step 3: Cross multiply
    37,218x = 63,612.75 × 63,612.75
  4. Step 4: Simplify right side
    37,218x = 4,046,581,962.56
  5. Step 5: Solve for x
    x = 4,046,581,962.56/37,218
  6. Step 6: Final answer
    x = 108,726.48

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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.