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Finding the Third Proportional to 5,646 and 7,452

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Solution

The third proportional to 5,646 and 7,452 is: 9,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646 : 7,452 = 7,452 : x
  2. Step 2: Convert to fraction form
    5,646/7,452 = 7,452/x
  3. Step 3: Cross multiply
    5,646x = 7,452 × 7,452
  4. Step 4: Simplify right side
    5,646x = 55,532,304
  5. Step 5: Solve for x
    x = 55,532,304/5,646
  6. Step 6: Final answer
    x = 9,835.69

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.