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Finding the Third Proportional to 38,904 and 59,328

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Solution

The third proportional to 38,904 and 59,328 is: 90,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,904 : 59,328 = 59,328 : x
  2. Step 2: Convert to fraction form
    38,904/59,328 = 59,328/x
  3. Step 3: Cross multiply
    38,904x = 59,328 × 59,328
  4. Step 4: Simplify right side
    38,904x = 3,519,811,584
  5. Step 5: Solve for x
    x = 3,519,811,584/38,904
  6. Step 6: Final answer
    x = 90,474.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.