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Finding the Third Proportional to 3,616.44 and 5,463.50

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Solution

The third proportional to 3,616.44 and 5,463.50 is: 8,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.44 : 5,463.50 = 5,463.50 : x
  2. Step 2: Convert to fraction form
    3,616.44/5,463.50 = 5,463.50/x
  3. Step 3: Cross multiply
    3,616.44x = 5,463.50 × 5,463.50
  4. Step 4: Simplify right side
    3,616.44x = 29,849,832.25
  5. Step 5: Solve for x
    x = 29,849,832.25/3,616.44
  6. Step 6: Final answer
    x = 8,253.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.