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Finding the Third Proportional to 24,302 and 50,791

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Solution

The third proportional to 24,302 and 50,791 is: 106,152.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302 : 50,791 = 50,791 : x
  2. Step 2: Convert to fraction form
    24,302/50,791 = 50,791/x
  3. Step 3: Cross multiply
    24,302x = 50,791 × 50,791
  4. Step 4: Simplify right side
    24,302x = 2,579,725,681
  5. Step 5: Solve for x
    x = 2,579,725,681/24,302
  6. Step 6: Final answer
    x = 106,152.81

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.