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Finding the Third Proportional to 28,084 and 40,974

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Solution

The third proportional to 28,084 and 40,974 is: 59,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,084 : 40,974 = 40,974 : x
  2. Step 2: Convert to fraction form
    28,084/40,974 = 40,974/x
  3. Step 3: Cross multiply
    28,084x = 40,974 × 40,974
  4. Step 4: Simplify right side
    28,084x = 1,678,868,676
  5. Step 5: Solve for x
    x = 1,678,868,676/28,084
  6. Step 6: Final answer
    x = 59,780.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.