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Finding the Third Proportional to 35,400 and 75,408

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Solution

The third proportional to 35,400 and 75,408 is: 160,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,400 : 75,408 = 75,408 : x
  2. Step 2: Convert to fraction form
    35,400/75,408 = 75,408/x
  3. Step 3: Cross multiply
    35,400x = 75,408 × 75,408
  4. Step 4: Simplify right side
    35,400x = 5,686,366,464
  5. Step 5: Solve for x
    x = 5,686,366,464/35,400
  6. Step 6: Final answer
    x = 160,631.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.