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Finding the Third Proportional to 31,646 and 46,981

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Solution

The third proportional to 31,646 and 46,981 is: 69,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646 : 46,981 = 46,981 : x
  2. Step 2: Convert to fraction form
    31,646/46,981 = 46,981/x
  3. Step 3: Cross multiply
    31,646x = 46,981 × 46,981
  4. Step 4: Simplify right side
    31,646x = 2,207,214,361
  5. Step 5: Solve for x
    x = 2,207,214,361/31,646
  6. Step 6: Final answer
    x = 69,747.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.