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Finding the Third Proportional to 19,478 and 41,548

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Solution

The third proportional to 19,478 and 41,548 is: 88,624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,478 : 41,548 = 41,548 : x
  2. Step 2: Convert to fraction form
    19,478/41,548 = 41,548/x
  3. Step 3: Cross multiply
    19,478x = 41,548 × 41,548
  4. Step 4: Simplify right side
    19,478x = 1,726,236,304
  5. Step 5: Solve for x
    x = 1,726,236,304/19,478
  6. Step 6: Final answer
    x = 88,624.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.