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Finding the Third Proportional to 24,617 and 50,686

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Solution

The third proportional to 24,617 and 50,686 is: 104,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617 : 50,686 = 50,686 : x
  2. Step 2: Convert to fraction form
    24,617/50,686 = 50,686/x
  3. Step 3: Cross multiply
    24,617x = 50,686 × 50,686
  4. Step 4: Simplify right side
    24,617x = 2,569,070,596
  5. Step 5: Solve for x
    x = 2,569,070,596/24,617
  6. Step 6: Final answer
    x = 104,361.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.