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Finding the Third Proportional to 1,864.83 and 4,062.52

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Solution

The third proportional to 1,864.83 and 4,062.52 is: 8,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.83 : 4,062.52 = 4,062.52 : x
  2. Step 2: Convert to fraction form
    1,864.83/4,062.52 = 4,062.52/x
  3. Step 3: Cross multiply
    1,864.83x = 4,062.52 × 4,062.52
  4. Step 4: Simplify right side
    1,864.83x = 16,504,033.20
  5. Step 5: Solve for x
    x = 16,504,033.20/1,864.83
  6. Step 6: Final answer
    x = 8,850.16

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.