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Finding the Third Proportional to 41,382 and 88,596

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Solution

The third proportional to 41,382 and 88,596 is: 189,677.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,382 : 88,596 = 88,596 : x
  2. Step 2: Convert to fraction form
    41,382/88,596 = 88,596/x
  3. Step 3: Cross multiply
    41,382x = 88,596 × 88,596
  4. Step 4: Simplify right side
    41,382x = 7,849,251,216
  5. Step 5: Solve for x
    x = 7,849,251,216/41,382
  6. Step 6: Final answer
    x = 189,677.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.