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Finding the Third Proportional to 1,215 and 3,154

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Solution

The third proportional to 1,215 and 3,154 is: 8,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215 : 3,154 = 3,154 : x
  2. Step 2: Convert to fraction form
    1,215/3,154 = 3,154/x
  3. Step 3: Cross multiply
    1,215x = 3,154 × 3,154
  4. Step 4: Simplify right side
    1,215x = 9,947,716
  5. Step 5: Solve for x
    x = 9,947,716/1,215
  6. Step 6: Final answer
    x = 8,187.42

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.