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Finding the Third Proportional to 36,950 and 70,498

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Solution

The third proportional to 36,950 and 70,498 is: 134,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,950 : 70,498 = 70,498 : x
  2. Step 2: Convert to fraction form
    36,950/70,498 = 70,498/x
  3. Step 3: Cross multiply
    36,950x = 70,498 × 70,498
  4. Step 4: Simplify right side
    36,950x = 4,969,968,004
  5. Step 5: Solve for x
    x = 4,969,968,004/36,950
  6. Step 6: Final answer
    x = 134,505.22

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.