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Finding the Third Proportional to 1,044.56 and 1,567.05

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Solution

The third proportional to 1,044.56 and 1,567.05 is: 2,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.56 : 1,567.05 = 1,567.05 : x
  2. Step 2: Convert to fraction form
    1,044.56/1,567.05 = 1,567.05/x
  3. Step 3: Cross multiply
    1,044.56x = 1,567.05 × 1,567.05
  4. Step 4: Simplify right side
    1,044.56x = 2,455,660.39
  5. Step 5: Solve for x
    x = 2,455,660.39/1,044.56
  6. Step 6: Final answer
    x = 2,350.90

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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.