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Finding the Third Proportional to 9,269 and 13,579

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Solution

The third proportional to 9,269 and 13,579 is: 19,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269 : 13,579 = 13,579 : x
  2. Step 2: Convert to fraction form
    9,269/13,579 = 13,579/x
  3. Step 3: Cross multiply
    9,269x = 13,579 × 13,579
  4. Step 4: Simplify right side
    9,269x = 184,389,241
  5. Step 5: Solve for x
    x = 184,389,241/9,269
  6. Step 6: Final answer
    x = 19,893.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.