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Finding the Third Proportional to 31,777 and 46,679

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Solution

The third proportional to 31,777 and 46,679 is: 68,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777 : 46,679 = 46,679 : x
  2. Step 2: Convert to fraction form
    31,777/46,679 = 46,679/x
  3. Step 3: Cross multiply
    31,777x = 46,679 × 46,679
  4. Step 4: Simplify right side
    31,777x = 2,178,929,041
  5. Step 5: Solve for x
    x = 2,178,929,041/31,777
  6. Step 6: Final answer
    x = 68,569.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.