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Finding the Third Proportional to 5,095.13 and 7,675.31

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Solution

The third proportional to 5,095.13 and 7,675.31 is: 11,562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,095.13 : 7,675.31 = 7,675.31 : x
  2. Step 2: Convert to fraction form
    5,095.13/7,675.31 = 7,675.31/x
  3. Step 3: Cross multiply
    5,095.13x = 7,675.31 × 7,675.31
  4. Step 4: Simplify right side
    5,095.13x = 58,910,421.97
  5. Step 5: Solve for x
    x = 58,910,421.97/5,095.13
  6. Step 6: Final answer
    x = 11,562.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.