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Finding the Third Proportional to 23,842 and 51,432

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Solution

The third proportional to 23,842 and 51,432 is: 110,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842 : 51,432 = 51,432 : x
  2. Step 2: Convert to fraction form
    23,842/51,432 = 51,432/x
  3. Step 3: Cross multiply
    23,842x = 51,432 × 51,432
  4. Step 4: Simplify right side
    23,842x = 2,645,250,624
  5. Step 5: Solve for x
    x = 2,645,250,624/23,842
  6. Step 6: Final answer
    x = 110,949.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.