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Finding the Third Proportional to 1,283.81 and 2,701.69

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Solution

The third proportional to 1,283.81 and 2,701.69 is: 5,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.81 : 2,701.69 = 2,701.69 : x
  2. Step 2: Convert to fraction form
    1,283.81/2,701.69 = 2,701.69/x
  3. Step 3: Cross multiply
    1,283.81x = 2,701.69 × 2,701.69
  4. Step 4: Simplify right side
    1,283.81x = 7,299,115.35
  5. Step 5: Solve for x
    x = 7,299,115.35/1,283.81
  6. Step 6: Final answer
    x = 5,685.50

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.