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Finding the Third Proportional to 3,532.22 and 5,171.77

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Solution

The third proportional to 3,532.22 and 5,171.77 is: 7,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.22 : 5,171.77 = 5,171.77 : x
  2. Step 2: Convert to fraction form
    3,532.22/5,171.77 = 5,171.77/x
  3. Step 3: Cross multiply
    3,532.22x = 5,171.77 × 5,171.77
  4. Step 4: Simplify right side
    3,532.22x = 26,747,159.68
  5. Step 5: Solve for x
    x = 26,747,159.68/3,532.22
  6. Step 6: Final answer
    x = 7,572.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.