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Finding the Third Proportional to 1,552.92 and 3,661.14

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Solution

The third proportional to 1,552.92 and 3,661.14 is: 8,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.92 : 3,661.14 = 3,661.14 : x
  2. Step 2: Convert to fraction form
    1,552.92/3,661.14 = 3,661.14/x
  3. Step 3: Cross multiply
    1,552.92x = 3,661.14 × 3,661.14
  4. Step 4: Simplify right side
    1,552.92x = 13,403,922.07
  5. Step 5: Solve for x
    x = 13,403,922.07/1,552.92
  6. Step 6: Final answer
    x = 8,631.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.