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Finding the Third Proportional to 667.69 and 1,567.13

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Solution

The third proportional to 667.69 and 1,567.13 is: 3,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.69 : 1,567.13 = 1,567.13 : x
  2. Step 2: Convert to fraction form
    667.69/1,567.13 = 1,567.13/x
  3. Step 3: Cross multiply
    667.69x = 1,567.13 × 1,567.13
  4. Step 4: Simplify right side
    667.69x = 2,455,880.77
  5. Step 5: Solve for x
    x = 2,455,880.77/667.69
  6. Step 6: Final answer
    x = 3,678.19

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.