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Finding the Third Proportional to 2,277 and 4,672.13

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Solution

The third proportional to 2,277 and 4,672.13 is: 9,586.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277 : 4,672.13 = 4,672.13 : x
  2. Step 2: Convert to fraction form
    2,277/4,672.13 = 4,672.13/x
  3. Step 3: Cross multiply
    2,277x = 4,672.13 × 4,672.13
  4. Step 4: Simplify right side
    2,277x = 21,828,752.02
  5. Step 5: Solve for x
    x = 21,828,752.02/2,277
  6. Step 6: Final answer
    x = 9,586.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.