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Finding the Third Proportional to 2,981 and 6,466

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Solution

The third proportional to 2,981 and 6,466 is: 14,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981 : 6,466 = 6,466 : x
  2. Step 2: Convert to fraction form
    2,981/6,466 = 6,466/x
  3. Step 3: Cross multiply
    2,981x = 6,466 × 6,466
  4. Step 4: Simplify right side
    2,981x = 41,809,156
  5. Step 5: Solve for x
    x = 41,809,156/2,981
  6. Step 6: Final answer
    x = 14,025.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.