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Finding the Third Proportional to 24,108 and 58,074

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Solution

The third proportional to 24,108 and 58,074 is: 139,895.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,108 : 58,074 = 58,074 : x
  2. Step 2: Convert to fraction form
    24,108/58,074 = 58,074/x
  3. Step 3: Cross multiply
    24,108x = 58,074 × 58,074
  4. Step 4: Simplify right side
    24,108x = 3,372,589,476
  5. Step 5: Solve for x
    x = 3,372,589,476/24,108
  6. Step 6: Final answer
    x = 139,895.03

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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.