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Finding the Third Proportional to 3,787 and 5,220

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Solution

The third proportional to 3,787 and 5,220 is: 7,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787 : 5,220 = 5,220 : x
  2. Step 2: Convert to fraction form
    3,787/5,220 = 5,220/x
  3. Step 3: Cross multiply
    3,787x = 5,220 × 5,220
  4. Step 4: Simplify right side
    3,787x = 27,248,400
  5. Step 5: Solve for x
    x = 27,248,400/3,787
  6. Step 6: Final answer
    x = 7,195.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.