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Finding the Third Proportional to 38,388.94 and 59,223.66

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Solution

The third proportional to 38,388.94 and 59,223.66 is: 91,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,388.94 : 59,223.66 = 59,223.66 : x
  2. Step 2: Convert to fraction form
    38,388.94/59,223.66 = 59,223.66/x
  3. Step 3: Cross multiply
    38,388.94x = 59,223.66 × 59,223.66
  4. Step 4: Simplify right side
    38,388.94x = 3,507,441,459.62
  5. Step 5: Solve for x
    x = 3,507,441,459.62/38,388.94
  6. Step 6: Final answer
    x = 91,365.94

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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.