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Finding the Third Proportional to 39,233.25 and 59,420.25

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Solution

The third proportional to 39,233.25 and 59,420.25 is: 89,994.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,233.25 : 59,420.25 = 59,420.25 : x
  2. Step 2: Convert to fraction form
    39,233.25/59,420.25 = 59,420.25/x
  3. Step 3: Cross multiply
    39,233.25x = 59,420.25 × 59,420.25
  4. Step 4: Simplify right side
    39,233.25x = 3,530,766,110.06
  5. Step 5: Solve for x
    x = 3,530,766,110.06/39,233.25
  6. Step 6: Final answer
    x = 89,994.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.