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Finding the Third Proportional to 24,799 and 38,411

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Solution

The third proportional to 24,799 and 38,411 is: 59,494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,799 : 38,411 = 38,411 : x
  2. Step 2: Convert to fraction form
    24,799/38,411 = 38,411/x
  3. Step 3: Cross multiply
    24,799x = 38,411 × 38,411
  4. Step 4: Simplify right side
    24,799x = 1,475,404,921
  5. Step 5: Solve for x
    x = 1,475,404,921/24,799
  6. Step 6: Final answer
    x = 59,494.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.