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Finding the Third Proportional to 22,282 and 48,078

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Solution

The third proportional to 22,282 and 48,078 is: 103,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282 : 48,078 = 48,078 : x
  2. Step 2: Convert to fraction form
    22,282/48,078 = 48,078/x
  3. Step 3: Cross multiply
    22,282x = 48,078 × 48,078
  4. Step 4: Simplify right side
    22,282x = 2,311,494,084
  5. Step 5: Solve for x
    x = 2,311,494,084/22,282
  6. Step 6: Final answer
    x = 103,738.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.