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Finding the Third Proportional to 5,981.13 and 9,180.94

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Solution

The third proportional to 5,981.13 and 9,180.94 is: 14,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.13 : 9,180.94 = 9,180.94 : x
  2. Step 2: Convert to fraction form
    5,981.13/9,180.94 = 9,180.94/x
  3. Step 3: Cross multiply
    5,981.13x = 9,180.94 × 9,180.94
  4. Step 4: Simplify right side
    5,981.13x = 84,289,613.38
  5. Step 5: Solve for x
    x = 84,289,613.38/5,981.13
  6. Step 6: Final answer
    x = 14,092.60

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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.