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Finding the Third Proportional to 38,391 and 59,227

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Solution

The third proportional to 38,391 and 59,227 is: 91,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,391 : 59,227 = 59,227 : x
  2. Step 2: Convert to fraction form
    38,391/59,227 = 59,227/x
  3. Step 3: Cross multiply
    38,391x = 59,227 × 59,227
  4. Step 4: Simplify right side
    38,391x = 3,507,837,529
  5. Step 5: Solve for x
    x = 3,507,837,529/38,391
  6. Step 6: Final answer
    x = 91,371.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.