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Finding the Third Proportional to 1,708.17 and 2,567.53

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Solution

The third proportional to 1,708.17 and 2,567.53 is: 3,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.17 : 2,567.53 = 2,567.53 : x
  2. Step 2: Convert to fraction form
    1,708.17/2,567.53 = 2,567.53/x
  3. Step 3: Cross multiply
    1,708.17x = 2,567.53 × 2,567.53
  4. Step 4: Simplify right side
    1,708.17x = 6,592,216.72
  5. Step 5: Solve for x
    x = 6,592,216.72/1,708.17
  6. Step 6: Final answer
    x = 3,859.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.