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Finding the Third Proportional to 46,974 and 63,981

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Solution

The third proportional to 46,974 and 63,981 is: 87,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,974 : 63,981 = 63,981 : x
  2. Step 2: Convert to fraction form
    46,974/63,981 = 63,981/x
  3. Step 3: Cross multiply
    46,974x = 63,981 × 63,981
  4. Step 4: Simplify right side
    46,974x = 4,093,568,361
  5. Step 5: Solve for x
    x = 4,093,568,361/46,974
  6. Step 6: Final answer
    x = 87,145.41

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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.