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Finding the Third Proportional to 34,000 and 48,977

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Solution

The third proportional to 34,000 and 48,977 is: 70,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,000 : 48,977 = 48,977 : x
  2. Step 2: Convert to fraction form
    34,000/48,977 = 48,977/x
  3. Step 3: Cross multiply
    34,000x = 48,977 × 48,977
  4. Step 4: Simplify right side
    34,000x = 2,398,746,529
  5. Step 5: Solve for x
    x = 2,398,746,529/34,000
  6. Step 6: Final answer
    x = 70,551.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.