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Finding the Third Proportional to 24,442 and 38,851

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Solution

The third proportional to 24,442 and 38,851 is: 61,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,442 : 38,851 = 38,851 : x
  2. Step 2: Convert to fraction form
    24,442/38,851 = 38,851/x
  3. Step 3: Cross multiply
    24,442x = 38,851 × 38,851
  4. Step 4: Simplify right side
    24,442x = 1,509,400,201
  5. Step 5: Solve for x
    x = 1,509,400,201/24,442
  6. Step 6: Final answer
    x = 61,754.37

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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.