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Finding the Third Proportional to 32,084 and 49,378

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Solution

The third proportional to 32,084 and 49,378 is: 75,993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084 : 49,378 = 49,378 : x
  2. Step 2: Convert to fraction form
    32,084/49,378 = 49,378/x
  3. Step 3: Cross multiply
    32,084x = 49,378 × 49,378
  4. Step 4: Simplify right side
    32,084x = 2,438,186,884
  5. Step 5: Solve for x
    x = 2,438,186,884/32,084
  6. Step 6: Final answer
    x = 75,993.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.