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Finding the Third Proportional to 7,165.13 and 9,772.31

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Solution

The third proportional to 7,165.13 and 9,772.31 is: 13,328.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.13 : 9,772.31 = 9,772.31 : x
  2. Step 2: Convert to fraction form
    7,165.13/9,772.31 = 9,772.31/x
  3. Step 3: Cross multiply
    7,165.13x = 9,772.31 × 9,772.31
  4. Step 4: Simplify right side
    7,165.13x = 95,498,091.60
  5. Step 5: Solve for x
    x = 95,498,091.60/7,165.13
  6. Step 6: Final answer
    x = 13,328.18

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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.