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Finding the Third Proportional to 41,584 and 88,892

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Solution

The third proportional to 41,584 and 88,892 is: 190,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,584 : 88,892 = 88,892 : x
  2. Step 2: Convert to fraction form
    41,584/88,892 = 88,892/x
  3. Step 3: Cross multiply
    41,584x = 88,892 × 88,892
  4. Step 4: Simplify right side
    41,584x = 7,901,787,664
  5. Step 5: Solve for x
    x = 7,901,787,664/41,584
  6. Step 6: Final answer
    x = 190,019.90

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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.