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Finding the Third Proportional to 22,664 and 48,073

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Solution

The third proportional to 22,664 and 48,073 is: 101,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,664 : 48,073 = 48,073 : x
  2. Step 2: Convert to fraction form
    22,664/48,073 = 48,073/x
  3. Step 3: Cross multiply
    22,664x = 48,073 × 48,073
  4. Step 4: Simplify right side
    22,664x = 2,311,013,329
  5. Step 5: Solve for x
    x = 2,311,013,329/22,664
  6. Step 6: Final answer
    x = 101,968.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.