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Finding the Third Proportional to 41,922 and 62,879

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Solution

The third proportional to 41,922 and 62,879 is: 94,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,922 : 62,879 = 62,879 : x
  2. Step 2: Convert to fraction form
    41,922/62,879 = 62,879/x
  3. Step 3: Cross multiply
    41,922x = 62,879 × 62,879
  4. Step 4: Simplify right side
    41,922x = 3,953,768,641
  5. Step 5: Solve for x
    x = 3,953,768,641/41,922
  6. Step 6: Final answer
    x = 94,312.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.