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Finding the Third Proportional to 2,972 and 4,298

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Solution

The third proportional to 2,972 and 4,298 is: 6,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972 : 4,298 = 4,298 : x
  2. Step 2: Convert to fraction form
    2,972/4,298 = 4,298/x
  3. Step 3: Cross multiply
    2,972x = 4,298 × 4,298
  4. Step 4: Simplify right side
    2,972x = 18,472,804
  5. Step 5: Solve for x
    x = 18,472,804/2,972
  6. Step 6: Final answer
    x = 6,215.61

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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.