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Finding the Third Proportional to 25,466 and 60,977

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Solution

The third proportional to 25,466 and 60,977 is: 146,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,466 : 60,977 = 60,977 : x
  2. Step 2: Convert to fraction form
    25,466/60,977 = 60,977/x
  3. Step 3: Cross multiply
    25,466x = 60,977 × 60,977
  4. Step 4: Simplify right side
    25,466x = 3,718,194,529
  5. Step 5: Solve for x
    x = 3,718,194,529/25,466
  6. Step 6: Final answer
    x = 146,006.23

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.