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Finding the Third Proportional to 38,480.75 and 61,474.25

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Solution

The third proportional to 38,480.75 and 61,474.25 is: 98,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,480.75 : 61,474.25 = 61,474.25 : x
  2. Step 2: Convert to fraction form
    38,480.75/61,474.25 = 61,474.25/x
  3. Step 3: Cross multiply
    38,480.75x = 61,474.25 × 61,474.25
  4. Step 4: Simplify right side
    38,480.75x = 3,779,083,413.06
  5. Step 5: Solve for x
    x = 3,779,083,413.06/38,480.75
  6. Step 6: Final answer
    x = 98,207.11

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.