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Finding the Third Proportional to 11,648 and 24,864

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Solution

The third proportional to 11,648 and 24,864 is: 53,075.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648 : 24,864 = 24,864 : x
  2. Step 2: Convert to fraction form
    11,648/24,864 = 24,864/x
  3. Step 3: Cross multiply
    11,648x = 24,864 × 24,864
  4. Step 4: Simplify right side
    11,648x = 618,218,496
  5. Step 5: Solve for x
    x = 618,218,496/11,648
  6. Step 6: Final answer
    x = 53,075.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.