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Finding the Third Proportional to 39,228 and 59,208

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Solution

The third proportional to 39,228 and 59,208 is: 89,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,228 : 59,208 = 59,208 : x
  2. Step 2: Convert to fraction form
    39,228/59,208 = 59,208/x
  3. Step 3: Cross multiply
    39,228x = 59,208 × 59,208
  4. Step 4: Simplify right side
    39,228x = 3,505,587,264
  5. Step 5: Solve for x
    x = 3,505,587,264/39,228
  6. Step 6: Final answer
    x = 89,364.41

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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.