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Finding the Third Proportional to 24,816 and 38,608

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Solution

The third proportional to 24,816 and 38,608 is: 60,065.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,816 : 38,608 = 38,608 : x
  2. Step 2: Convert to fraction form
    24,816/38,608 = 38,608/x
  3. Step 3: Cross multiply
    24,816x = 38,608 × 38,608
  4. Step 4: Simplify right side
    24,816x = 1,490,577,664
  5. Step 5: Solve for x
    x = 1,490,577,664/24,816
  6. Step 6: Final answer
    x = 60,065.19

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.