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Finding the Third Proportional to 9,180.84 and 13,923.14

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Solution

The third proportional to 9,180.84 and 13,923.14 is: 21,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.84 : 13,923.14 = 13,923.14 : x
  2. Step 2: Convert to fraction form
    9,180.84/13,923.14 = 13,923.14/x
  3. Step 3: Cross multiply
    9,180.84x = 13,923.14 × 13,923.14
  4. Step 4: Simplify right side
    9,180.84x = 193,853,844.86
  5. Step 5: Solve for x
    x = 193,853,844.86/9,180.84
  6. Step 6: Final answer
    x = 21,115.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.