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Finding the Third Proportional to 5,329.13 and 9,883.69

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Solution

The third proportional to 5,329.13 and 9,883.69 is: 18,330.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.13 : 9,883.69 = 9,883.69 : x
  2. Step 2: Convert to fraction form
    5,329.13/9,883.69 = 9,883.69/x
  3. Step 3: Cross multiply
    5,329.13x = 9,883.69 × 9,883.69
  4. Step 4: Simplify right side
    5,329.13x = 97,687,278.60
  5. Step 5: Solve for x
    x = 97,687,278.60/5,329.13
  6. Step 6: Final answer
    x = 18,330.83

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.