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Finding the Third Proportional to 5,988.38 and 9,191.81

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Solution

The third proportional to 5,988.38 and 9,191.81 is: 14,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988.38 : 9,191.81 = 9,191.81 : x
  2. Step 2: Convert to fraction form
    5,988.38/9,191.81 = 9,191.81/x
  3. Step 3: Cross multiply
    5,988.38x = 9,191.81 × 9,191.81
  4. Step 4: Simplify right side
    5,988.38x = 84,489,417.04
  5. Step 5: Solve for x
    x = 84,489,417.04/5,988.38
  6. Step 6: Final answer
    x = 14,108.91

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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.