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Finding the Third Proportional to 15,454.13 and 17,458.88

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Solution

The third proportional to 15,454.13 and 17,458.88 is: 19,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,454.13 : 17,458.88 = 17,458.88 : x
  2. Step 2: Convert to fraction form
    15,454.13/17,458.88 = 17,458.88/x
  3. Step 3: Cross multiply
    15,454.13x = 17,458.88 × 17,458.88
  4. Step 4: Simplify right side
    15,454.13x = 304,812,316.27
  5. Step 5: Solve for x
    x = 304,812,316.27/15,454.13
  6. Step 6: Final answer
    x = 19,723.69

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.