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Finding the Third Proportional to 39,211.13 and 83,479.50

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Solution

The third proportional to 39,211.13 and 83,479.50 is: 177,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,211.13 : 83,479.50 = 83,479.50 : x
  2. Step 2: Convert to fraction form
    39,211.13/83,479.50 = 83,479.50/x
  3. Step 3: Cross multiply
    39,211.13x = 83,479.50 × 83,479.50
  4. Step 4: Simplify right side
    39,211.13x = 6,968,826,920.25
  5. Step 5: Solve for x
    x = 6,968,826,920.25/39,211.13
  6. Step 6: Final answer
    x = 177,725.76

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