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Finding the Third Proportional to 11,928 and 24,528

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Solution

The third proportional to 11,928 and 24,528 is: 50,437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928 : 24,528 = 24,528 : x
  2. Step 2: Convert to fraction form
    11,928/24,528 = 24,528/x
  3. Step 3: Cross multiply
    11,928x = 24,528 × 24,528
  4. Step 4: Simplify right side
    11,928x = 601,622,784
  5. Step 5: Solve for x
    x = 601,622,784/11,928
  6. Step 6: Final answer
    x = 50,437.86

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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.