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Finding the Third Proportional to 38,228 and 59,046.25

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Solution

The third proportional to 38,228 and 59,046.25 is: 91,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,228 : 59,046.25 = 59,046.25 : x
  2. Step 2: Convert to fraction form
    38,228/59,046.25 = 59,046.25/x
  3. Step 3: Cross multiply
    38,228x = 59,046.25 × 59,046.25
  4. Step 4: Simplify right side
    38,228x = 3,486,459,639.06
  5. Step 5: Solve for x
    x = 3,486,459,639.06/38,228
  6. Step 6: Final answer
    x = 91,201.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.