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Finding the Third Proportional to 23,712 and 34,344

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Solution

The third proportional to 23,712 and 34,344 is: 49,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712 : 34,344 = 34,344 : x
  2. Step 2: Convert to fraction form
    23,712/34,344 = 34,344/x
  3. Step 3: Cross multiply
    23,712x = 34,344 × 34,344
  4. Step 4: Simplify right side
    23,712x = 1,179,510,336
  5. Step 5: Solve for x
    x = 1,179,510,336/23,712
  6. Step 6: Final answer
    x = 49,743.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.