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Finding the Third Proportional to 24,781 and 51,986

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Solution

The third proportional to 24,781 and 51,986 is: 109,057.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781 : 51,986 = 51,986 : x
  2. Step 2: Convert to fraction form
    24,781/51,986 = 51,986/x
  3. Step 3: Cross multiply
    24,781x = 51,986 × 51,986
  4. Step 4: Simplify right side
    24,781x = 2,702,544,196
  5. Step 5: Solve for x
    x = 2,702,544,196/24,781
  6. Step 6: Final answer
    x = 109,057.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.