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Finding the Third Proportional to 38,367 and 56,295

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Solution

The third proportional to 38,367 and 56,295 is: 82,600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,367 : 56,295 = 56,295 : x
  2. Step 2: Convert to fraction form
    38,367/56,295 = 56,295/x
  3. Step 3: Cross multiply
    38,367x = 56,295 × 56,295
  4. Step 4: Simplify right side
    38,367x = 3,169,127,025
  5. Step 5: Solve for x
    x = 3,169,127,025/38,367
  6. Step 6: Final answer
    x = 82,600.33

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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.