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Finding the Third Proportional to 24,864 and 55,260

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Solution

The third proportional to 24,864 and 55,260 is: 122,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,864 : 55,260 = 55,260 : x
  2. Step 2: Convert to fraction form
    24,864/55,260 = 55,260/x
  3. Step 3: Cross multiply
    24,864x = 55,260 × 55,260
  4. Step 4: Simplify right side
    24,864x = 3,053,667,600
  5. Step 5: Solve for x
    x = 3,053,667,600/24,864
  6. Step 6: Final answer
    x = 122,814.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.