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Finding the Third Proportional to 927.56 and 1,377.56

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Solution

The third proportional to 927.56 and 1,377.56 is: 2,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.56 : 1,377.56 = 1,377.56 : x
  2. Step 2: Convert to fraction form
    927.56/1,377.56 = 1,377.56/x
  3. Step 3: Cross multiply
    927.56x = 1,377.56 × 1,377.56
  4. Step 4: Simplify right side
    927.56x = 1,897,678.44
  5. Step 5: Solve for x
    x = 1,897,678.44/927.56
  6. Step 6: Final answer
    x = 2,045.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.