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Finding the Third Proportional to 15,840 and 23,872

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Solution

The third proportional to 15,840 and 23,872 is: 35,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840 : 23,872 = 23,872 : x
  2. Step 2: Convert to fraction form
    15,840/23,872 = 23,872/x
  3. Step 3: Cross multiply
    15,840x = 23,872 × 23,872
  4. Step 4: Simplify right side
    15,840x = 569,872,384
  5. Step 5: Solve for x
    x = 569,872,384/15,840
  6. Step 6: Final answer
    x = 35,976.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.