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Finding the Third Proportional to 46,786 and 67,722

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Solution

The third proportional to 46,786 and 67,722 is: 98,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,786 : 67,722 = 67,722 : x
  2. Step 2: Convert to fraction form
    46,786/67,722 = 67,722/x
  3. Step 3: Cross multiply
    46,786x = 67,722 × 67,722
  4. Step 4: Simplify right side
    46,786x = 4,586,269,284
  5. Step 5: Solve for x
    x = 4,586,269,284/46,786
  6. Step 6: Final answer
    x = 98,026.53

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.