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Finding the Third Proportional to 27,058 and 40,911

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Solution

The third proportional to 27,058 and 40,911 is: 61,856.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,058 : 40,911 = 40,911 : x
  2. Step 2: Convert to fraction form
    27,058/40,911 = 40,911/x
  3. Step 3: Cross multiply
    27,058x = 40,911 × 40,911
  4. Step 4: Simplify right side
    27,058x = 1,673,709,921
  5. Step 5: Solve for x
    x = 1,673,709,921/27,058
  6. Step 6: Final answer
    x = 61,856.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.