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Finding the Third Proportional to 4,651 and 10,039

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Solution

The third proportional to 4,651 and 10,039 is: 21,668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651 : 10,039 = 10,039 : x
  2. Step 2: Convert to fraction form
    4,651/10,039 = 10,039/x
  3. Step 3: Cross multiply
    4,651x = 10,039 × 10,039
  4. Step 4: Simplify right side
    4,651x = 100,781,521
  5. Step 5: Solve for x
    x = 100,781,521/4,651
  6. Step 6: Final answer
    x = 21,668.79

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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.