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Finding the Third Proportional to 10,107 and 15,707

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Solution

The third proportional to 10,107 and 15,707 is: 24,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107 : 15,707 = 15,707 : x
  2. Step 2: Convert to fraction form
    10,107/15,707 = 15,707/x
  3. Step 3: Cross multiply
    10,107x = 15,707 × 15,707
  4. Step 4: Simplify right side
    10,107x = 246,709,849
  5. Step 5: Solve for x
    x = 246,709,849/10,107
  6. Step 6: Final answer
    x = 24,409.80

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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.