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Finding the Third Proportional to 38,724 and 56,952

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Solution

The third proportional to 38,724 and 56,952 is: 83,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,724 : 56,952 = 56,952 : x
  2. Step 2: Convert to fraction form
    38,724/56,952 = 56,952/x
  3. Step 3: Cross multiply
    38,724x = 56,952 × 56,952
  4. Step 4: Simplify right side
    38,724x = 3,243,530,304
  5. Step 5: Solve for x
    x = 3,243,530,304/38,724
  6. Step 6: Final answer
    x = 83,760.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.