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Finding the Third Proportional to 7,044.47 and 9,488.81

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Solution

The third proportional to 7,044.47 and 9,488.81 is: 12,781.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.47 : 9,488.81 = 9,488.81 : x
  2. Step 2: Convert to fraction form
    7,044.47/9,488.81 = 9,488.81/x
  3. Step 3: Cross multiply
    7,044.47x = 9,488.81 × 9,488.81
  4. Step 4: Simplify right side
    7,044.47x = 90,037,562.66
  5. Step 5: Solve for x
    x = 90,037,562.66/7,044.47
  6. Step 6: Final answer
    x = 12,781.31

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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.