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Finding the Third Proportional to 14,842 and 23,872

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Solution

The third proportional to 14,842 and 23,872 is: 38,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842 : 23,872 = 23,872 : x
  2. Step 2: Convert to fraction form
    14,842/23,872 = 23,872/x
  3. Step 3: Cross multiply
    14,842x = 23,872 × 23,872
  4. Step 4: Simplify right side
    14,842x = 569,872,384
  5. Step 5: Solve for x
    x = 569,872,384/14,842
  6. Step 6: Final answer
    x = 38,395.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.