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Finding the Third Proportional to 7,092.80 and 11,331.18

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Solution

The third proportional to 7,092.80 and 11,331.18 is: 18,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.80 : 11,331.18 = 11,331.18 : x
  2. Step 2: Convert to fraction form
    7,092.80/11,331.18 = 11,331.18/x
  3. Step 3: Cross multiply
    7,092.80x = 11,331.18 × 11,331.18
  4. Step 4: Simplify right side
    7,092.80x = 128,395,644.18
  5. Step 5: Solve for x
    x = 128,395,644.18/7,092.80
  6. Step 6: Final answer
    x = 18,102.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.