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Finding the Third Proportional to 21,098 and 32,711

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Solution

The third proportional to 21,098 and 32,711 is: 50,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098 : 32,711 = 32,711 : x
  2. Step 2: Convert to fraction form
    21,098/32,711 = 32,711/x
  3. Step 3: Cross multiply
    21,098x = 32,711 × 32,711
  4. Step 4: Simplify right side
    21,098x = 1,070,009,521
  5. Step 5: Solve for x
    x = 1,070,009,521/21,098
  6. Step 6: Final answer
    x = 50,716.16

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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.