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Finding the Third Proportional to 1,360.97 and 2,039.77

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Solution

The third proportional to 1,360.97 and 2,039.77 is: 3,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.97 : 2,039.77 = 2,039.77 : x
  2. Step 2: Convert to fraction form
    1,360.97/2,039.77 = 2,039.77/x
  3. Step 3: Cross multiply
    1,360.97x = 2,039.77 × 2,039.77
  4. Step 4: Simplify right side
    1,360.97x = 4,160,643.80
  5. Step 5: Solve for x
    x = 4,160,643.80/1,360.97
  6. Step 6: Final answer
    x = 3,057.12

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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.