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Finding the Third Proportional to 24,573 and 38,972

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Solution

The third proportional to 24,573 and 38,972 is: 61,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,573 : 38,972 = 38,972 : x
  2. Step 2: Convert to fraction form
    24,573/38,972 = 38,972/x
  3. Step 3: Cross multiply
    24,573x = 38,972 × 38,972
  4. Step 4: Simplify right side
    24,573x = 1,518,816,784
  5. Step 5: Solve for x
    x = 1,518,816,784/24,573
  6. Step 6: Final answer
    x = 61,808.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.