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Finding the Third Proportional to 24,541 and 38,922

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Solution

The third proportional to 24,541 and 38,922 is: 61,730.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,541 : 38,922 = 38,922 : x
  2. Step 2: Convert to fraction form
    24,541/38,922 = 38,922/x
  3. Step 3: Cross multiply
    24,541x = 38,922 × 38,922
  4. Step 4: Simplify right side
    24,541x = 1,514,922,084
  5. Step 5: Solve for x
    x = 1,514,922,084/24,541
  6. Step 6: Final answer
    x = 61,730.25

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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.