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Finding the Third Proportional to 5,269 and 11,369

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Solution

The third proportional to 5,269 and 11,369 is: 24,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269 : 11,369 = 11,369 : x
  2. Step 2: Convert to fraction form
    5,269/11,369 = 11,369/x
  3. Step 3: Cross multiply
    5,269x = 11,369 × 11,369
  4. Step 4: Simplify right side
    5,269x = 129,254,161
  5. Step 5: Solve for x
    x = 129,254,161/5,269
  6. Step 6: Final answer
    x = 24,531.06

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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.