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Finding the Third Proportional to 37.69 and 70.13

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Solution

The third proportional to 37.69 and 70.13 is: 130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.69 : 70.13 = 70.13 : x
  2. Step 2: Convert to fraction form
    37.69/70.13 = 70.13/x
  3. Step 3: Cross multiply
    37.69x = 70.13 × 70.13
  4. Step 4: Simplify right side
    37.69x = 4,917.52
  5. Step 5: Solve for x
    x = 4,917.52/37.69
  6. Step 6: Final answer
    x = 130.48

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.