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Finding the Third Proportional to 38,900 and 56,649

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Solution

The third proportional to 38,900 and 56,649 is: 82,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,900 : 56,649 = 56,649 : x
  2. Step 2: Convert to fraction form
    38,900/56,649 = 56,649/x
  3. Step 3: Cross multiply
    38,900x = 56,649 × 56,649
  4. Step 4: Simplify right side
    38,900x = 3,209,109,201
  5. Step 5: Solve for x
    x = 3,209,109,201/38,900
  6. Step 6: Final answer
    x = 82,496.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.