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Finding the Third Proportional to 10,142 and 15,697

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Solution

The third proportional to 10,142 and 15,697 is: 24,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142 : 15,697 = 15,697 : x
  2. Step 2: Convert to fraction form
    10,142/15,697 = 15,697/x
  3. Step 3: Cross multiply
    10,142x = 15,697 × 15,697
  4. Step 4: Simplify right side
    10,142x = 246,395,809
  5. Step 5: Solve for x
    x = 246,395,809/10,142
  6. Step 6: Final answer
    x = 24,294.60

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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.