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Finding the Third Proportional to 24,533 and 38,911

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Solution

The third proportional to 24,533 and 38,911 is: 61,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,533 : 38,911 = 38,911 : x
  2. Step 2: Convert to fraction form
    24,533/38,911 = 38,911/x
  3. Step 3: Cross multiply
    24,533x = 38,911 × 38,911
  4. Step 4: Simplify right side
    24,533x = 1,514,065,921
  5. Step 5: Solve for x
    x = 1,514,065,921/24,533
  6. Step 6: Final answer
    x = 61,715.48

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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.