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Finding the Third Proportional to 24,562 and 50,576

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Solution

The third proportional to 24,562 and 50,576 is: 104,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,562 : 50,576 = 50,576 : x
  2. Step 2: Convert to fraction form
    24,562/50,576 = 50,576/x
  3. Step 3: Cross multiply
    24,562x = 50,576 × 50,576
  4. Step 4: Simplify right side
    24,562x = 2,557,931,776
  5. Step 5: Solve for x
    x = 2,557,931,776/24,562
  6. Step 6: Final answer
    x = 104,141.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.