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Finding the Third Proportional to 4,820 and 10,330

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Solution

The third proportional to 4,820 and 10,330 is: 22,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820 : 10,330 = 10,330 : x
  2. Step 2: Convert to fraction form
    4,820/10,330 = 10,330/x
  3. Step 3: Cross multiply
    4,820x = 10,330 × 10,330
  4. Step 4: Simplify right side
    4,820x = 106,708,900
  5. Step 5: Solve for x
    x = 106,708,900/4,820
  6. Step 6: Final answer
    x = 22,138.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.