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Finding the Third Proportional to 28,249 and 41,509

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Solution

The third proportional to 28,249 and 41,509 is: 60,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,249 : 41,509 = 41,509 : x
  2. Step 2: Convert to fraction form
    28,249/41,509 = 41,509/x
  3. Step 3: Cross multiply
    28,249x = 41,509 × 41,509
  4. Step 4: Simplify right side
    28,249x = 1,722,997,081
  5. Step 5: Solve for x
    x = 1,722,997,081/28,249
  6. Step 6: Final answer
    x = 60,993.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.