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Finding the Third Proportional to 2,069 and 4,468

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Solution

The third proportional to 2,069 and 4,468 is: 9,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069 : 4,468 = 4,468 : x
  2. Step 2: Convert to fraction form
    2,069/4,468 = 4,468/x
  3. Step 3: Cross multiply
    2,069x = 4,468 × 4,468
  4. Step 4: Simplify right side
    2,069x = 19,963,024
  5. Step 5: Solve for x
    x = 19,963,024/2,069
  6. Step 6: Final answer
    x = 9,648.63

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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.