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Finding the Third Proportional to 1,708.78 and 2,677.03

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Solution

The third proportional to 1,708.78 and 2,677.03 is: 4,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.78 : 2,677.03 = 2,677.03 : x
  2. Step 2: Convert to fraction form
    1,708.78/2,677.03 = 2,677.03/x
  3. Step 3: Cross multiply
    1,708.78x = 2,677.03 × 2,677.03
  4. Step 4: Simplify right side
    1,708.78x = 7,166,496.31
  5. Step 5: Solve for x
    x = 7,166,496.31/1,708.78
  6. Step 6: Final answer
    x = 4,193.92

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.