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Finding the Third Proportional to 7,966.13 and 17,539.88

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Solution

The third proportional to 7,966.13 and 17,539.88 is: 38,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.13 : 17,539.88 = 17,539.88 : x
  2. Step 2: Convert to fraction form
    7,966.13/17,539.88 = 17,539.88/x
  3. Step 3: Cross multiply
    7,966.13x = 17,539.88 × 17,539.88
  4. Step 4: Simplify right side
    7,966.13x = 307,647,215.02
  5. Step 5: Solve for x
    x = 307,647,215.02/7,966.13
  6. Step 6: Final answer
    x = 38,619.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.