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Finding the Third Proportional to 38,361 and 61,065.75

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Solution

The third proportional to 38,361 and 61,065.75 is: 97,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,361 : 61,065.75 = 61,065.75 : x
  2. Step 2: Convert to fraction form
    38,361/61,065.75 = 61,065.75/x
  3. Step 3: Cross multiply
    38,361x = 61,065.75 × 61,065.75
  4. Step 4: Simplify right side
    38,361x = 3,729,025,823.06
  5. Step 5: Solve for x
    x = 3,729,025,823.06/38,361
  6. Step 6: Final answer
    x = 97,208.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.