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Finding the Third Proportional to 3,648.88 and 5,661.56

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Solution

The third proportional to 3,648.88 and 5,661.56 is: 8,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.88 : 5,661.56 = 5,661.56 : x
  2. Step 2: Convert to fraction form
    3,648.88/5,661.56 = 5,661.56/x
  3. Step 3: Cross multiply
    3,648.88x = 5,661.56 × 5,661.56
  4. Step 4: Simplify right side
    3,648.88x = 32,053,289.94
  5. Step 5: Solve for x
    x = 32,053,289.94/3,648.88
  6. Step 6: Final answer
    x = 8,784.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.