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Finding the Third Proportional to 3,714.75 and 5,322.38

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Solution

The third proportional to 3,714.75 and 5,322.38 is: 7,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.75 : 5,322.38 = 5,322.38 : x
  2. Step 2: Convert to fraction form
    3,714.75/5,322.38 = 5,322.38/x
  3. Step 3: Cross multiply
    3,714.75x = 5,322.38 × 5,322.38
  4. Step 4: Simplify right side
    3,714.75x = 28,327,675.64
  5. Step 5: Solve for x
    x = 28,327,675.64/3,714.75
  6. Step 6: Final answer
    x = 7,625.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.