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Finding the Third Proportional to 46,684 and 71,756

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Solution

The third proportional to 46,684 and 71,756 is: 110,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,684 : 71,756 = 71,756 : x
  2. Step 2: Convert to fraction form
    46,684/71,756 = 71,756/x
  3. Step 3: Cross multiply
    46,684x = 71,756 × 71,756
  4. Step 4: Simplify right side
    46,684x = 5,148,923,536
  5. Step 5: Solve for x
    x = 5,148,923,536/46,684
  6. Step 6: Final answer
    x = 110,293.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.