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Finding the Third Proportional to 4,201.88 and 5,590.27

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Solution

The third proportional to 4,201.88 and 5,590.27 is: 7,437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.88 : 5,590.27 = 5,590.27 : x
  2. Step 2: Convert to fraction form
    4,201.88/5,590.27 = 5,590.27/x
  3. Step 3: Cross multiply
    4,201.88x = 5,590.27 × 5,590.27
  4. Step 4: Simplify right side
    4,201.88x = 31,251,069.76
  5. Step 5: Solve for x
    x = 31,251,069.76/4,201.88
  6. Step 6: Final answer
    x = 7,437.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.