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Finding the Third Proportional to 1,248.70 and 2,891.08

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Solution

The third proportional to 1,248.70 and 2,891.08 is: 6,693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.70 : 2,891.08 = 2,891.08 : x
  2. Step 2: Convert to fraction form
    1,248.70/2,891.08 = 2,891.08/x
  3. Step 3: Cross multiply
    1,248.70x = 2,891.08 × 2,891.08
  4. Step 4: Simplify right side
    1,248.70x = 8,358,360.96
  5. Step 5: Solve for x
    x = 8,358,360.96/1,248.70
  6. Step 6: Final answer
    x = 6,693.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.