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Finding the Third Proportional to 24,093 and 58,035

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Solution

The third proportional to 24,093 and 58,035 is: 139,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,093 : 58,035 = 58,035 : x
  2. Step 2: Convert to fraction form
    24,093/58,035 = 58,035/x
  3. Step 3: Cross multiply
    24,093x = 58,035 × 58,035
  4. Step 4: Simplify right side
    24,093x = 3,368,061,225
  5. Step 5: Solve for x
    x = 3,368,061,225/24,093
  6. Step 6: Final answer
    x = 139,794.18

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.