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Finding the Third Proportional to 3,616.31 and 5,463.14

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Solution

The third proportional to 3,616.31 and 5,463.14 is: 8,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.31 : 5,463.14 = 5,463.14 : x
  2. Step 2: Convert to fraction form
    3,616.31/5,463.14 = 5,463.14/x
  3. Step 3: Cross multiply
    3,616.31x = 5,463.14 × 5,463.14
  4. Step 4: Simplify right side
    3,616.31x = 29,845,905.49
  5. Step 5: Solve for x
    x = 29,845,905.49/3,616.31
  6. Step 6: Final answer
    x = 8,253.13

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1.5x scale

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.