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Finding the Third Proportional to 23,470 and 48,882

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Solution

The third proportional to 23,470 and 48,882 is: 101,808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,470 : 48,882 = 48,882 : x
  2. Step 2: Convert to fraction form
    23,470/48,882 = 48,882/x
  3. Step 3: Cross multiply
    23,470x = 48,882 × 48,882
  4. Step 4: Simplify right side
    23,470x = 2,389,449,924
  5. Step 5: Solve for x
    x = 2,389,449,924/23,470
  6. Step 6: Final answer
    x = 101,808.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.