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Finding the Third Proportional to 24,016 and 35,928

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Solution

The third proportional to 24,016 and 35,928 is: 53,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,016 : 35,928 = 35,928 : x
  2. Step 2: Convert to fraction form
    24,016/35,928 = 35,928/x
  3. Step 3: Cross multiply
    24,016x = 35,928 × 35,928
  4. Step 4: Simplify right side
    24,016x = 1,290,821,184
  5. Step 5: Solve for x
    x = 1,290,821,184/24,016
  6. Step 6: Final answer
    x = 53,748.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.