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Finding the Third Proportional to 4,964 and 10,782

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Solution

The third proportional to 4,964 and 10,782 is: 23,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964 : 10,782 = 10,782 : x
  2. Step 2: Convert to fraction form
    4,964/10,782 = 10,782/x
  3. Step 3: Cross multiply
    4,964x = 10,782 × 10,782
  4. Step 4: Simplify right side
    4,964x = 116,251,524
  5. Step 5: Solve for x
    x = 116,251,524/4,964
  6. Step 6: Final answer
    x = 23,418.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.