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Finding the Third Proportional to 24,855 and 53,218

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Solution

The third proportional to 24,855 and 53,218 is: 113,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,855 : 53,218 = 53,218 : x
  2. Step 2: Convert to fraction form
    24,855/53,218 = 53,218/x
  3. Step 3: Cross multiply
    24,855x = 53,218 × 53,218
  4. Step 4: Simplify right side
    24,855x = 2,832,155,524
  5. Step 5: Solve for x
    x = 2,832,155,524/24,855
  6. Step 6: Final answer
    x = 113,947.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.