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Finding the Third Proportional to 10,674 and 24,768

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Solution

The third proportional to 10,674 and 24,768 is: 57,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674 : 24,768 = 24,768 : x
  2. Step 2: Convert to fraction form
    10,674/24,768 = 24,768/x
  3. Step 3: Cross multiply
    10,674x = 24,768 × 24,768
  4. Step 4: Simplify right side
    10,674x = 613,453,824
  5. Step 5: Solve for x
    x = 613,453,824/10,674
  6. Step 6: Final answer
    x = 57,471.78

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.