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Finding the Third Proportional to 1,368.47 and 2,116.59

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Solution

The third proportional to 1,368.47 and 2,116.59 is: 3,273.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.47 : 2,116.59 = 2,116.59 : x
  2. Step 2: Convert to fraction form
    1,368.47/2,116.59 = 2,116.59/x
  3. Step 3: Cross multiply
    1,368.47x = 2,116.59 × 2,116.59
  4. Step 4: Simplify right side
    1,368.47x = 4,479,969.10
  5. Step 5: Solve for x
    x = 4,479,969.10/1,368.47
  6. Step 6: Final answer
    x = 3,273.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.