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Finding the Third Proportional to 4,764 and 10,451

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Solution

The third proportional to 4,764 and 10,451 is: 22,926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764 : 10,451 = 10,451 : x
  2. Step 2: Convert to fraction form
    4,764/10,451 = 10,451/x
  3. Step 3: Cross multiply
    4,764x = 10,451 × 10,451
  4. Step 4: Simplify right side
    4,764x = 109,223,401
  5. Step 5: Solve for x
    x = 109,223,401/4,764
  6. Step 6: Final answer
    x = 22,926.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.