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Finding the Third Proportional to 24,508 and 38,858

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Solution

The third proportional to 24,508 and 38,858 is: 61,610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508 : 38,858 = 38,858 : x
  2. Step 2: Convert to fraction form
    24,508/38,858 = 38,858/x
  3. Step 3: Cross multiply
    24,508x = 38,858 × 38,858
  4. Step 4: Simplify right side
    24,508x = 1,509,944,164
  5. Step 5: Solve for x
    x = 1,509,944,164/24,508
  6. Step 6: Final answer
    x = 61,610.26

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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.