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Finding the Third Proportional to 23,176.13 and 54,375.05

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Solution

The third proportional to 23,176.13 and 54,375.05 is: 127,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,176.13 : 54,375.05 = 54,375.05 : x
  2. Step 2: Convert to fraction form
    23,176.13/54,375.05 = 54,375.05/x
  3. Step 3: Cross multiply
    23,176.13x = 54,375.05 × 54,375.05
  4. Step 4: Simplify right side
    23,176.13x = 2,956,645,722.66
  5. Step 5: Solve for x
    x = 2,956,645,722.66/23,176.13
  6. Step 6: Final answer
    x = 127,572.91

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.