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Finding the Third Proportional to 4,012 and 5,466

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Solution

The third proportional to 4,012 and 5,466 is: 7,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012 : 5,466 = 5,466 : x
  2. Step 2: Convert to fraction form
    4,012/5,466 = 5,466/x
  3. Step 3: Cross multiply
    4,012x = 5,466 × 5,466
  4. Step 4: Simplify right side
    4,012x = 29,877,156
  5. Step 5: Solve for x
    x = 29,877,156/4,012
  6. Step 6: Final answer
    x = 7,446.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.