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Finding the Third Proportional to 38,867 and 61,804

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Solution

The third proportional to 38,867 and 61,804 is: 98,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,867 : 61,804 = 61,804 : x
  2. Step 2: Convert to fraction form
    38,867/61,804 = 61,804/x
  3. Step 3: Cross multiply
    38,867x = 61,804 × 61,804
  4. Step 4: Simplify right side
    38,867x = 3,819,734,416
  5. Step 5: Solve for x
    x = 3,819,734,416/38,867
  6. Step 6: Final answer
    x = 98,277.06

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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.