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Finding the Third Proportional to 39,711 and 85,816

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Solution

The third proportional to 39,711 and 85,816 is: 185,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,711 : 85,816 = 85,816 : x
  2. Step 2: Convert to fraction form
    39,711/85,816 = 85,816/x
  3. Step 3: Cross multiply
    39,711x = 85,816 × 85,816
  4. Step 4: Simplify right side
    39,711x = 7,364,385,856
  5. Step 5: Solve for x
    x = 7,364,385,856/39,711
  6. Step 6: Final answer
    x = 185,449.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.