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Finding the Third Proportional to 2,555.30 and 3,841.17

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Solution

The third proportional to 2,555.30 and 3,841.17 is: 5,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.30 : 3,841.17 = 3,841.17 : x
  2. Step 2: Convert to fraction form
    2,555.30/3,841.17 = 3,841.17/x
  3. Step 3: Cross multiply
    2,555.30x = 3,841.17 × 3,841.17
  4. Step 4: Simplify right side
    2,555.30x = 14,754,601.37
  5. Step 5: Solve for x
    x = 14,754,601.37/2,555.30
  6. Step 6: Final answer
    x = 5,774.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.