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Finding the Third Proportional to 1,466 and 3,154

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Solution

The third proportional to 1,466 and 3,154 is: 6,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466 : 3,154 = 3,154 : x
  2. Step 2: Convert to fraction form
    1,466/3,154 = 3,154/x
  3. Step 3: Cross multiply
    1,466x = 3,154 × 3,154
  4. Step 4: Simplify right side
    1,466x = 9,947,716
  5. Step 5: Solve for x
    x = 9,947,716/1,466
  6. Step 6: Final answer
    x = 6,785.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.