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Finding the Third Proportional to 15,885 and 24,386

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Solution

The third proportional to 15,885 and 24,386 is: 37,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,885 : 24,386 = 24,386 : x
  2. Step 2: Convert to fraction form
    15,885/24,386 = 24,386/x
  3. Step 3: Cross multiply
    15,885x = 24,386 × 24,386
  4. Step 4: Simplify right side
    15,885x = 594,676,996
  5. Step 5: Solve for x
    x = 594,676,996/15,885
  6. Step 6: Final answer
    x = 37,436.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.