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Finding the Third Proportional to 927.38 and 2,127.75

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Solution

The third proportional to 927.38 and 2,127.75 is: 4,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.38 : 2,127.75 = 2,127.75 : x
  2. Step 2: Convert to fraction form
    927.38/2,127.75 = 2,127.75/x
  3. Step 3: Cross multiply
    927.38x = 2,127.75 × 2,127.75
  4. Step 4: Simplify right side
    927.38x = 4,527,320.06
  5. Step 5: Solve for x
    x = 4,527,320.06/927.38
  6. Step 6: Final answer
    x = 4,881.87

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.