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Finding the Third Proportional to 10,802.11 and 17,311.85

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Solution

The third proportional to 10,802.11 and 17,311.85 is: 27,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.11 : 17,311.85 = 17,311.85 : x
  2. Step 2: Convert to fraction form
    10,802.11/17,311.85 = 17,311.85/x
  3. Step 3: Cross multiply
    10,802.11x = 17,311.85 × 17,311.85
  4. Step 4: Simplify right side
    10,802.11x = 299,700,204.52
  5. Step 5: Solve for x
    x = 299,700,204.52/10,802.11
  6. Step 6: Final answer
    x = 27,744.60

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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.