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Finding the Third Proportional to 34,977 and 74,941

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Solution

The third proportional to 34,977 and 74,941 is: 160,567.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,977 : 74,941 = 74,941 : x
  2. Step 2: Convert to fraction form
    34,977/74,941 = 74,941/x
  3. Step 3: Cross multiply
    34,977x = 74,941 × 74,941
  4. Step 4: Simplify right side
    34,977x = 5,616,153,481
  5. Step 5: Solve for x
    x = 5,616,153,481/34,977
  6. Step 6: Final answer
    x = 160,567.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.