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Finding the Third Proportional to 45,382 and 63,478

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Solution

The third proportional to 45,382 and 63,478 is: 88,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,382 : 63,478 = 63,478 : x
  2. Step 2: Convert to fraction form
    45,382/63,478 = 63,478/x
  3. Step 3: Cross multiply
    45,382x = 63,478 × 63,478
  4. Step 4: Simplify right side
    45,382x = 4,029,456,484
  5. Step 5: Solve for x
    x = 4,029,456,484/45,382
  6. Step 6: Final answer
    x = 88,789.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.