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Finding the Third Proportional to 15,657 and 23,874

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Solution

The third proportional to 15,657 and 23,874 is: 36,403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657 : 23,874 = 23,874 : x
  2. Step 2: Convert to fraction form
    15,657/23,874 = 23,874/x
  3. Step 3: Cross multiply
    15,657x = 23,874 × 23,874
  4. Step 4: Simplify right side
    15,657x = 569,967,876
  5. Step 5: Solve for x
    x = 569,967,876/15,657
  6. Step 6: Final answer
    x = 36,403.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.