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Finding the Third Proportional to 3,553.88 and 5,574.66

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Solution

The third proportional to 3,553.88 and 5,574.66 is: 8,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.88 : 5,574.66 = 5,574.66 : x
  2. Step 2: Convert to fraction form
    3,553.88/5,574.66 = 5,574.66/x
  3. Step 3: Cross multiply
    3,553.88x = 5,574.66 × 5,574.66
  4. Step 4: Simplify right side
    3,553.88x = 31,076,792.31
  5. Step 5: Solve for x
    x = 31,076,792.31/3,553.88
  6. Step 6: Final answer
    x = 8,744.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.