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Finding the Third Proportional to 48,001 and 63,695

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Solution

The third proportional to 48,001 and 63,695 is: 84,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,001 : 63,695 = 63,695 : x
  2. Step 2: Convert to fraction form
    48,001/63,695 = 63,695/x
  3. Step 3: Cross multiply
    48,001x = 63,695 × 63,695
  4. Step 4: Simplify right side
    48,001x = 4,057,053,025
  5. Step 5: Solve for x
    x = 4,057,053,025/48,001
  6. Step 6: Final answer
    x = 84,520.18

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.