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Finding the Third Proportional to 5,581.13 and 7,579.88

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Solution

The third proportional to 5,581.13 and 7,579.88 is: 10,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.13 : 7,579.88 = 7,579.88 : x
  2. Step 2: Convert to fraction form
    5,581.13/7,579.88 = 7,579.88/x
  3. Step 3: Cross multiply
    5,581.13x = 7,579.88 × 7,579.88
  4. Step 4: Simplify right side
    5,581.13x = 57,454,505.02
  5. Step 5: Solve for x
    x = 57,454,505.02/5,581.13
  6. Step 6: Final answer
    x = 10,294.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.