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Finding the Third Proportional to 38,652 and 83,700

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Solution

The third proportional to 38,652 and 83,700 is: 181,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,652 : 83,700 = 83,700 : x
  2. Step 2: Convert to fraction form
    38,652/83,700 = 83,700/x
  3. Step 3: Cross multiply
    38,652x = 83,700 × 83,700
  4. Step 4: Simplify right side
    38,652x = 7,005,690,000
  5. Step 5: Solve for x
    x = 7,005,690,000/38,652
  6. Step 6: Final answer
    x = 181,250.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.