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Finding the Third Proportional to 10,122 and 15,705

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Solution

The third proportional to 10,122 and 15,705 is: 24,367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122 : 15,705 = 15,705 : x
  2. Step 2: Convert to fraction form
    10,122/15,705 = 15,705/x
  3. Step 3: Cross multiply
    10,122x = 15,705 × 15,705
  4. Step 4: Simplify right side
    10,122x = 246,647,025
  5. Step 5: Solve for x
    x = 246,647,025/10,122
  6. Step 6: Final answer
    x = 24,367.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.