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Finding the Third Proportional to 22,199 and 48,773

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Solution

The third proportional to 22,199 and 48,773 is: 107,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,199 : 48,773 = 48,773 : x
  2. Step 2: Convert to fraction form
    22,199/48,773 = 48,773/x
  3. Step 3: Cross multiply
    22,199x = 48,773 × 48,773
  4. Step 4: Simplify right side
    22,199x = 2,378,805,529
  5. Step 5: Solve for x
    x = 2,378,805,529/22,199
  6. Step 6: Final answer
    x = 107,158.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.