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Finding the Third Proportional to 34,751 and 70,731

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Solution

The third proportional to 34,751 and 70,731 is: 143,963.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,751 : 70,731 = 70,731 : x
  2. Step 2: Convert to fraction form
    34,751/70,731 = 70,731/x
  3. Step 3: Cross multiply
    34,751x = 70,731 × 70,731
  4. Step 4: Simplify right side
    34,751x = 5,002,874,361
  5. Step 5: Solve for x
    x = 5,002,874,361/34,751
  6. Step 6: Final answer
    x = 143,963.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.