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Finding the Third Proportional to 15,506 and 33,493

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Solution

The third proportional to 15,506 and 33,493 is: 72,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506 : 33,493 = 33,493 : x
  2. Step 2: Convert to fraction form
    15,506/33,493 = 33,493/x
  3. Step 3: Cross multiply
    15,506x = 33,493 × 33,493
  4. Step 4: Simplify right side
    15,506x = 1,121,781,049
  5. Step 5: Solve for x
    x = 1,121,781,049/15,506
  6. Step 6: Final answer
    x = 72,344.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.