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Finding the Third Proportional to 1,065.56 and 2,291.44

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Solution

The third proportional to 1,065.56 and 2,291.44 is: 4,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.56 : 2,291.44 = 2,291.44 : x
  2. Step 2: Convert to fraction form
    1,065.56/2,291.44 = 2,291.44/x
  3. Step 3: Cross multiply
    1,065.56x = 2,291.44 × 2,291.44
  4. Step 4: Simplify right side
    1,065.56x = 5,250,685.82
  5. Step 5: Solve for x
    x = 5,250,685.82/1,065.56
  6. Step 6: Final answer
    x = 4,927.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.