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Finding the Third Proportional to 10,127 and 20,902

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Solution

The third proportional to 10,127 and 20,902 is: 43,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127 : 20,902 = 20,902 : x
  2. Step 2: Convert to fraction form
    10,127/20,902 = 20,902/x
  3. Step 3: Cross multiply
    10,127x = 20,902 × 20,902
  4. Step 4: Simplify right side
    10,127x = 436,893,604
  5. Step 5: Solve for x
    x = 436,893,604/10,127
  6. Step 6: Final answer
    x = 43,141.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.