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Finding the Third Proportional to 22,785 and 48,977

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Solution

The third proportional to 22,785 and 48,977 is: 105,277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,785 : 48,977 = 48,977 : x
  2. Step 2: Convert to fraction form
    22,785/48,977 = 48,977/x
  3. Step 3: Cross multiply
    22,785x = 48,977 × 48,977
  4. Step 4: Simplify right side
    22,785x = 2,398,746,529
  5. Step 5: Solve for x
    x = 2,398,746,529/22,785
  6. Step 6: Final answer
    x = 105,277.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.