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Finding the Third Proportional to 27,270 and 40,041

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Solution

The third proportional to 27,270 and 40,041 is: 58,792.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270 : 40,041 = 40,041 : x
  2. Step 2: Convert to fraction form
    27,270/40,041 = 40,041/x
  3. Step 3: Cross multiply
    27,270x = 40,041 × 40,041
  4. Step 4: Simplify right side
    27,270x = 1,603,281,681
  5. Step 5: Solve for x
    x = 1,603,281,681/27,270
  6. Step 6: Final answer
    x = 58,792.87

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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.