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Finding the Third Proportional to 34,364.25 and 49,977

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Solution

The third proportional to 34,364.25 and 49,977 is: 72,683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,364.25 : 49,977 = 49,977 : x
  2. Step 2: Convert to fraction form
    34,364.25/49,977 = 49,977/x
  3. Step 3: Cross multiply
    34,364.25x = 49,977 × 49,977
  4. Step 4: Simplify right side
    34,364.25x = 2,497,700,529
  5. Step 5: Solve for x
    x = 2,497,700,529/34,364.25
  6. Step 6: Final answer
    x = 72,683.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.