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Finding the Third Proportional to 2,368.83 and 3,652.17

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Solution

The third proportional to 2,368.83 and 3,652.17 is: 5,630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.83 : 3,652.17 = 3,652.17 : x
  2. Step 2: Convert to fraction form
    2,368.83/3,652.17 = 3,652.17/x
  3. Step 3: Cross multiply
    2,368.83x = 3,652.17 × 3,652.17
  4. Step 4: Simplify right side
    2,368.83x = 13,338,359.40
  5. Step 5: Solve for x
    x = 13,338,359.40/2,368.83
  6. Step 6: Final answer
    x = 5,630.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.