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Finding the Third Proportional to 46,917 and 68,734.13

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Solution

The third proportional to 46,917 and 68,734.13 is: 100,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,917 : 68,734.13 = 68,734.13 : x
  2. Step 2: Convert to fraction form
    46,917/68,734.13 = 68,734.13/x
  3. Step 3: Cross multiply
    46,917x = 68,734.13 × 68,734.13
  4. Step 4: Simplify right side
    46,917x = 4,724,379,939.52
  5. Step 5: Solve for x
    x = 4,724,379,939.52/46,917
  6. Step 6: Final answer
    x = 100,696.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.