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Finding the Third Proportional to 30,249 and 41,065

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Solution

The third proportional to 30,249 and 41,065 is: 55,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,249 : 41,065 = 41,065 : x
  2. Step 2: Convert to fraction form
    30,249/41,065 = 41,065/x
  3. Step 3: Cross multiply
    30,249x = 41,065 × 41,065
  4. Step 4: Simplify right side
    30,249x = 1,686,334,225
  5. Step 5: Solve for x
    x = 1,686,334,225/30,249
  6. Step 6: Final answer
    x = 55,748.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.