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Finding the Third Proportional to 1,368.14 and 2,043.98

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Solution

The third proportional to 1,368.14 and 2,043.98 is: 3,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.14 : 2,043.98 = 2,043.98 : x
  2. Step 2: Convert to fraction form
    1,368.14/2,043.98 = 2,043.98/x
  3. Step 3: Cross multiply
    1,368.14x = 2,043.98 × 2,043.98
  4. Step 4: Simplify right side
    1,368.14x = 4,177,872.13
  5. Step 5: Solve for x
    x = 4,177,872.13/1,368.14
  6. Step 6: Final answer
    x = 3,053.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.