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Finding the Third Proportional to 2,127.75 and 4,675.13

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Solution

The third proportional to 2,127.75 and 4,675.13 is: 10,272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.75 : 4,675.13 = 4,675.13 : x
  2. Step 2: Convert to fraction form
    2,127.75/4,675.13 = 4,675.13/x
  3. Step 3: Cross multiply
    2,127.75x = 4,675.13 × 4,675.13
  4. Step 4: Simplify right side
    2,127.75x = 21,856,793.77
  5. Step 5: Solve for x
    x = 21,856,793.77/2,127.75
  6. Step 6: Final answer
    x = 10,272.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.