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Finding the Third Proportional to 46,282 and 67,694

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Solution

The third proportional to 46,282 and 67,694 is: 99,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,282 : 67,694 = 67,694 : x
  2. Step 2: Convert to fraction form
    46,282/67,694 = 67,694/x
  3. Step 3: Cross multiply
    46,282x = 67,694 × 67,694
  4. Step 4: Simplify right side
    46,282x = 4,582,477,636
  5. Step 5: Solve for x
    x = 4,582,477,636/46,282
  6. Step 6: Final answer
    x = 99,012.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.