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Finding the Third Proportional to 5,952.38 and 9,118.13

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Solution

The third proportional to 5,952.38 and 9,118.13 is: 13,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.38 : 9,118.13 = 9,118.13 : x
  2. Step 2: Convert to fraction form
    5,952.38/9,118.13 = 9,118.13/x
  3. Step 3: Cross multiply
    5,952.38x = 9,118.13 × 9,118.13
  4. Step 4: Simplify right side
    5,952.38x = 83,140,203.52
  5. Step 5: Solve for x
    x = 83,140,203.52/5,952.38
  6. Step 6: Final answer
    x = 13,967.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.