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Finding the Third Proportional to 10,697 and 14,404

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Solution

The third proportional to 10,697 and 14,404 is: 19,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697 : 14,404 = 14,404 : x
  2. Step 2: Convert to fraction form
    10,697/14,404 = 14,404/x
  3. Step 3: Cross multiply
    10,697x = 14,404 × 14,404
  4. Step 4: Simplify right side
    10,697x = 207,475,216
  5. Step 5: Solve for x
    x = 207,475,216/10,697
  6. Step 6: Final answer
    x = 19,395.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.