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Finding the Third Proportional to 38,313 and 59,462

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Solution

The third proportional to 38,313 and 59,462 is: 92,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,313 : 59,462 = 59,462 : x
  2. Step 2: Convert to fraction form
    38,313/59,462 = 59,462/x
  3. Step 3: Cross multiply
    38,313x = 59,462 × 59,462
  4. Step 4: Simplify right side
    38,313x = 3,535,729,444
  5. Step 5: Solve for x
    x = 3,535,729,444/38,313
  6. Step 6: Final answer
    x = 92,285.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.