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Finding the Third Proportional to 36,675 and 70,434

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Solution

The third proportional to 36,675 and 70,434 is: 135,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,675 : 70,434 = 70,434 : x
  2. Step 2: Convert to fraction form
    36,675/70,434 = 70,434/x
  3. Step 3: Cross multiply
    36,675x = 70,434 × 70,434
  4. Step 4: Simplify right side
    36,675x = 4,960,948,356
  5. Step 5: Solve for x
    x = 4,960,948,356/36,675
  6. Step 6: Final answer
    x = 135,267.85

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.