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Finding the Third Proportional to 45,986 and 66,981

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Solution

The third proportional to 45,986 and 66,981 is: 97,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,986 : 66,981 = 66,981 : x
  2. Step 2: Convert to fraction form
    45,986/66,981 = 66,981/x
  3. Step 3: Cross multiply
    45,986x = 66,981 × 66,981
  4. Step 4: Simplify right side
    45,986x = 4,486,454,361
  5. Step 5: Solve for x
    x = 4,486,454,361/45,986
  6. Step 6: Final answer
    x = 97,561.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.