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Finding the Third Proportional to 15,127 and 32,849

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Solution

The third proportional to 15,127 and 32,849 is: 71,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,127 : 32,849 = 32,849 : x
  2. Step 2: Convert to fraction form
    15,127/32,849 = 32,849/x
  3. Step 3: Cross multiply
    15,127x = 32,849 × 32,849
  4. Step 4: Simplify right side
    15,127x = 1,079,056,801
  5. Step 5: Solve for x
    x = 1,079,056,801/15,127
  6. Step 6: Final answer
    x = 71,333.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.