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Finding the Third Proportional to 37,670 and 83,600

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Solution

The third proportional to 37,670 and 83,600 is: 185,531.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,670 : 83,600 = 83,600 : x
  2. Step 2: Convert to fraction form
    37,670/83,600 = 83,600/x
  3. Step 3: Cross multiply
    37,670x = 83,600 × 83,600
  4. Step 4: Simplify right side
    37,670x = 6,988,960,000
  5. Step 5: Solve for x
    x = 6,988,960,000/37,670
  6. Step 6: Final answer
    x = 185,531.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.