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Finding the Third Proportional to 4,768 and 10,392

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Solution

The third proportional to 4,768 and 10,392 is: 22,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768 : 10,392 = 10,392 : x
  2. Step 2: Convert to fraction form
    4,768/10,392 = 10,392/x
  3. Step 3: Cross multiply
    4,768x = 10,392 × 10,392
  4. Step 4: Simplify right side
    4,768x = 107,993,664
  5. Step 5: Solve for x
    x = 107,993,664/4,768
  6. Step 6: Final answer
    x = 22,649.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.