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Finding the Third Proportional to 32,990 and 49,767

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Solution

The third proportional to 32,990 and 49,767 is: 75,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,990 : 49,767 = 49,767 : x
  2. Step 2: Convert to fraction form
    32,990/49,767 = 49,767/x
  3. Step 3: Cross multiply
    32,990x = 49,767 × 49,767
  4. Step 4: Simplify right side
    32,990x = 2,476,754,289
  5. Step 5: Solve for x
    x = 2,476,754,289/32,990
  6. Step 6: Final answer
    x = 75,075.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.