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Finding the Third Proportional to 13,249 and 18,569

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Solution

The third proportional to 13,249 and 18,569 is: 26,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249 : 18,569 = 18,569 : x
  2. Step 2: Convert to fraction form
    13,249/18,569 = 18,569/x
  3. Step 3: Cross multiply
    13,249x = 18,569 × 18,569
  4. Step 4: Simplify right side
    13,249x = 344,807,761
  5. Step 5: Solve for x
    x = 344,807,761/13,249
  6. Step 6: Final answer
    x = 26,025.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.