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Finding the Third Proportional to 24,061 and 36,035

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Solution

The third proportional to 24,061 and 36,035 is: 53,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,061 : 36,035 = 36,035 : x
  2. Step 2: Convert to fraction form
    24,061/36,035 = 36,035/x
  3. Step 3: Cross multiply
    24,061x = 36,035 × 36,035
  4. Step 4: Simplify right side
    24,061x = 1,298,521,225
  5. Step 5: Solve for x
    x = 1,298,521,225/24,061
  6. Step 6: Final answer
    x = 53,967.88

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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.