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Finding the Third Proportional to 2,648.95 and 5,844.66

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Solution

The third proportional to 2,648.95 and 5,844.66 is: 12,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.95 : 5,844.66 = 5,844.66 : x
  2. Step 2: Convert to fraction form
    2,648.95/5,844.66 = 5,844.66/x
  3. Step 3: Cross multiply
    2,648.95x = 5,844.66 × 5,844.66
  4. Step 4: Simplify right side
    2,648.95x = 34,160,006.68
  5. Step 5: Solve for x
    x = 34,160,006.68/2,648.95
  6. Step 6: Final answer
    x = 12,895.66

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.