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Finding the Third Proportional to 6,293 and 14,697

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Solution

The third proportional to 6,293 and 14,697 is: 34,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293 : 14,697 = 14,697 : x
  2. Step 2: Convert to fraction form
    6,293/14,697 = 14,697/x
  3. Step 3: Cross multiply
    6,293x = 14,697 × 14,697
  4. Step 4: Simplify right side
    6,293x = 216,001,809
  5. Step 5: Solve for x
    x = 216,001,809/6,293
  6. Step 6: Final answer
    x = 34,324.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.