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Finding the Third Proportional to 46,863 and 71,686

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Solution

The third proportional to 46,863 and 71,686 is: 109,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,863 : 71,686 = 71,686 : x
  2. Step 2: Convert to fraction form
    46,863/71,686 = 71,686/x
  3. Step 3: Cross multiply
    46,863x = 71,686 × 71,686
  4. Step 4: Simplify right side
    46,863x = 5,138,882,596
  5. Step 5: Solve for x
    x = 5,138,882,596/46,863
  6. Step 6: Final answer
    x = 109,657.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.