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Finding the Third Proportional to 2,567.64 and 3,433.80

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Solution

The third proportional to 2,567.64 and 3,433.80 is: 4,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.64 : 3,433.80 = 3,433.80 : x
  2. Step 2: Convert to fraction form
    2,567.64/3,433.80 = 3,433.80/x
  3. Step 3: Cross multiply
    2,567.64x = 3,433.80 × 3,433.80
  4. Step 4: Simplify right side
    2,567.64x = 11,790,974.39
  5. Step 5: Solve for x
    x = 11,790,974.39/2,567.64
  6. Step 6: Final answer
    x = 4,592.15

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.