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Finding the Third Proportional to 38,679.50 and 82,037

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Solution

The third proportional to 38,679.50 and 82,037 is: 173,995.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,679.50 : 82,037 = 82,037 : x
  2. Step 2: Convert to fraction form
    38,679.50/82,037 = 82,037/x
  3. Step 3: Cross multiply
    38,679.50x = 82,037 × 82,037
  4. Step 4: Simplify right side
    38,679.50x = 6,730,069,369
  5. Step 5: Solve for x
    x = 6,730,069,369/38,679.50
  6. Step 6: Final answer
    x = 173,995.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.