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Finding the Third Proportional to 24,536 and 38,914

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Solution

The third proportional to 24,536 and 38,914 is: 61,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,536 : 38,914 = 38,914 : x
  2. Step 2: Convert to fraction form
    24,536/38,914 = 38,914/x
  3. Step 3: Cross multiply
    24,536x = 38,914 × 38,914
  4. Step 4: Simplify right side
    24,536x = 1,514,299,396
  5. Step 5: Solve for x
    x = 1,514,299,396/24,536
  6. Step 6: Final answer
    x = 61,717.45

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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.