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Finding the Third Proportional to 24,868 and 53,417

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Solution

The third proportional to 24,868 and 53,417 is: 114,740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,868 : 53,417 = 53,417 : x
  2. Step 2: Convert to fraction form
    24,868/53,417 = 53,417/x
  3. Step 3: Cross multiply
    24,868x = 53,417 × 53,417
  4. Step 4: Simplify right side
    24,868x = 2,853,375,889
  5. Step 5: Solve for x
    x = 2,853,375,889/24,868
  6. Step 6: Final answer
    x = 114,740.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.