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Finding the Third Proportional to 4,814 and 10,396

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Solution

The third proportional to 4,814 and 10,396 is: 22,450.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814 : 10,396 = 10,396 : x
  2. Step 2: Convert to fraction form
    4,814/10,396 = 10,396/x
  3. Step 3: Cross multiply
    4,814x = 10,396 × 10,396
  4. Step 4: Simplify right side
    4,814x = 108,076,816
  5. Step 5: Solve for x
    x = 108,076,816/4,814
  6. Step 6: Final answer
    x = 22,450.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.