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Finding the Third Proportional to 37,646.25 and 60,540

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Solution

The third proportional to 37,646.25 and 60,540 is: 97,356.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,646.25 : 60,540 = 60,540 : x
  2. Step 2: Convert to fraction form
    37,646.25/60,540 = 60,540/x
  3. Step 3: Cross multiply
    37,646.25x = 60,540 × 60,540
  4. Step 4: Simplify right side
    37,646.25x = 3,665,091,600
  5. Step 5: Solve for x
    x = 3,665,091,600/37,646.25
  6. Step 6: Final answer
    x = 97,356.09

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.