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Finding the Third Proportional to 9,180.84 and 21,311.86

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Solution

The third proportional to 9,180.84 and 21,311.86 is: 49,472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.84 : 21,311.86 = 21,311.86 : x
  2. Step 2: Convert to fraction form
    9,180.84/21,311.86 = 21,311.86/x
  3. Step 3: Cross multiply
    9,180.84x = 21,311.86 × 21,311.86
  4. Step 4: Simplify right side
    9,180.84x = 454,195,350.02
  5. Step 5: Solve for x
    x = 454,195,350.02/9,180.84
  6. Step 6: Final answer
    x = 49,472.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.