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Finding the Third Proportional to 38,781.75 and 62,222.25

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Solution

The third proportional to 38,781.75 and 62,222.25 is: 99,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,781.75 : 62,222.25 = 62,222.25 : x
  2. Step 2: Convert to fraction form
    38,781.75/62,222.25 = 62,222.25/x
  3. Step 3: Cross multiply
    38,781.75x = 62,222.25 × 62,222.25
  4. Step 4: Simplify right side
    38,781.75x = 3,871,608,395.06
  5. Step 5: Solve for x
    x = 3,871,608,395.06/38,781.75
  6. Step 6: Final answer
    x = 99,830.68

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