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Finding the Third Proportional to 2,755 and 4,864.50

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Solution

The third proportional to 2,755 and 4,864.50 is: 8,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755 : 4,864.50 = 4,864.50 : x
  2. Step 2: Convert to fraction form
    2,755/4,864.50 = 4,864.50/x
  3. Step 3: Cross multiply
    2,755x = 4,864.50 × 4,864.50
  4. Step 4: Simplify right side
    2,755x = 23,663,360.25
  5. Step 5: Solve for x
    x = 23,663,360.25/2,755
  6. Step 6: Final answer
    x = 8,589.24

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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.