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Finding the Third Proportional to 2,909 and 6,468

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Solution

The third proportional to 2,909 and 6,468 is: 14,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909 : 6,468 = 6,468 : x
  2. Step 2: Convert to fraction form
    2,909/6,468 = 6,468/x
  3. Step 3: Cross multiply
    2,909x = 6,468 × 6,468
  4. Step 4: Simplify right side
    2,909x = 41,835,024
  5. Step 5: Solve for x
    x = 41,835,024/2,909
  6. Step 6: Final answer
    x = 14,381.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.