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Finding the Third Proportional to 22,770 and 48,222

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Solution

The third proportional to 22,770 and 48,222 is: 102,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,770 : 48,222 = 48,222 : x
  2. Step 2: Convert to fraction form
    22,770/48,222 = 48,222/x
  3. Step 3: Cross multiply
    22,770x = 48,222 × 48,222
  4. Step 4: Simplify right side
    22,770x = 2,325,361,284
  5. Step 5: Solve for x
    x = 2,325,361,284/22,770
  6. Step 6: Final answer
    x = 102,123.90

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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.