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Finding the Third Proportional to 24,839 and 58,310

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Solution

The third proportional to 24,839 and 58,310 is: 136,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,839 : 58,310 = 58,310 : x
  2. Step 2: Convert to fraction form
    24,839/58,310 = 58,310/x
  3. Step 3: Cross multiply
    24,839x = 58,310 × 58,310
  4. Step 4: Simplify right side
    24,839x = 3,400,056,100
  5. Step 5: Solve for x
    x = 3,400,056,100/24,839
  6. Step 6: Final answer
    x = 136,883.78

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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.