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Finding the Third Proportional to 567.16 and 1,249.17

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Solution

The third proportional to 567.16 and 1,249.17 is: 2,751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.16 : 1,249.17 = 1,249.17 : x
  2. Step 2: Convert to fraction form
    567.16/1,249.17 = 1,249.17/x
  3. Step 3: Cross multiply
    567.16x = 1,249.17 × 1,249.17
  4. Step 4: Simplify right side
    567.16x = 1,560,430.37
  5. Step 5: Solve for x
    x = 1,560,430.37/567.16
  6. Step 6: Final answer
    x = 2,751.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.