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Finding the Third Proportional to 2,274 and 2,479.13

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Solution

The third proportional to 2,274 and 2,479.13 is: 2,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274 : 2,479.13 = 2,479.13 : x
  2. Step 2: Convert to fraction form
    2,274/2,479.13 = 2,479.13/x
  3. Step 3: Cross multiply
    2,274x = 2,479.13 × 2,479.13
  4. Step 4: Simplify right side
    2,274x = 6,146,060.77
  5. Step 5: Solve for x
    x = 6,146,060.77/2,274
  6. Step 6: Final answer
    x = 2,702.75

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.