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Finding the Third Proportional to 3,553.88 and 5,616.56

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Solution

The third proportional to 3,553.88 and 5,616.56 is: 8,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.88 : 5,616.56 = 5,616.56 : x
  2. Step 2: Convert to fraction form
    3,553.88/5,616.56 = 5,616.56/x
  3. Step 3: Cross multiply
    3,553.88x = 5,616.56 × 5,616.56
  4. Step 4: Simplify right side
    3,553.88x = 31,545,774.32
  5. Step 5: Solve for x
    x = 31,545,774.32/3,553.88
  6. Step 6: Final answer
    x = 8,876.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.