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Finding the Third Proportional to 15,714 and 34,344

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Solution

The third proportional to 15,714 and 34,344 is: 75,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714 : 34,344 = 34,344 : x
  2. Step 2: Convert to fraction form
    15,714/34,344 = 34,344/x
  3. Step 3: Cross multiply
    15,714x = 34,344 × 34,344
  4. Step 4: Simplify right side
    15,714x = 1,179,510,336
  5. Step 5: Solve for x
    x = 1,179,510,336/15,714
  6. Step 6: Final answer
    x = 75,061.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.