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Finding the Third Proportional to 2,177.16 and 3,270.66

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Solution

The third proportional to 2,177.16 and 3,270.66 is: 4,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.16 : 3,270.66 = 3,270.66 : x
  2. Step 2: Convert to fraction form
    2,177.16/3,270.66 = 3,270.66/x
  3. Step 3: Cross multiply
    2,177.16x = 3,270.66 × 3,270.66
  4. Step 4: Simplify right side
    2,177.16x = 10,697,192.31
  5. Step 5: Solve for x
    x = 10,697,192.31/2,177.16
  6. Step 6: Final answer
    x = 4,913.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.