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Finding the Third Proportional to 7,456.88 and 10,091.06

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Solution

The third proportional to 7,456.88 and 10,091.06 is: 13,655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.88 : 10,091.06 = 10,091.06 : x
  2. Step 2: Convert to fraction form
    7,456.88/10,091.06 = 10,091.06/x
  3. Step 3: Cross multiply
    7,456.88x = 10,091.06 × 10,091.06
  4. Step 4: Simplify right side
    7,456.88x = 101,829,542.38
  5. Step 5: Solve for x
    x = 101,829,542.38/7,456.88
  6. Step 6: Final answer
    x = 13,655.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.