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Finding the Third Proportional to 38,245 and 56,242

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Solution

The third proportional to 38,245 and 56,242 is: 82,707.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245 : 56,242 = 56,242 : x
  2. Step 2: Convert to fraction form
    38,245/56,242 = 56,242/x
  3. Step 3: Cross multiply
    38,245x = 56,242 × 56,242
  4. Step 4: Simplify right side
    38,245x = 3,163,162,564
  5. Step 5: Solve for x
    x = 3,163,162,564/38,245
  6. Step 6: Final answer
    x = 82,707.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.