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Finding the Third Proportional to 24,081 and 58,013

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Solution

The third proportional to 24,081 and 58,013 is: 139,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,081 : 58,013 = 58,013 : x
  2. Step 2: Convert to fraction form
    24,081/58,013 = 58,013/x
  3. Step 3: Cross multiply
    24,081x = 58,013 × 58,013
  4. Step 4: Simplify right side
    24,081x = 3,365,508,169
  5. Step 5: Solve for x
    x = 3,365,508,169/24,081
  6. Step 6: Final answer
    x = 139,757.82

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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.