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Finding the Third Proportional to 35,424 and 52,452

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Solution

The third proportional to 35,424 and 52,452 is: 77,665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,424 : 52,452 = 52,452 : x
  2. Step 2: Convert to fraction form
    35,424/52,452 = 52,452/x
  3. Step 3: Cross multiply
    35,424x = 52,452 × 52,452
  4. Step 4: Simplify right side
    35,424x = 2,751,212,304
  5. Step 5: Solve for x
    x = 2,751,212,304/35,424
  6. Step 6: Final answer
    x = 77,665.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.