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Finding the Third Proportional to 27,437 and 40,993

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Solution

The third proportional to 27,437 and 40,993 is: 61,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,437 : 40,993 = 40,993 : x
  2. Step 2: Convert to fraction form
    27,437/40,993 = 40,993/x
  3. Step 3: Cross multiply
    27,437x = 40,993 × 40,993
  4. Step 4: Simplify right side
    27,437x = 1,680,426,049
  5. Step 5: Solve for x
    x = 1,680,426,049/27,437
  6. Step 6: Final answer
    x = 61,246.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.