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Finding the Third Proportional to 22,262 and 45,138

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Solution

The third proportional to 22,262 and 45,138 is: 91,520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262 : 45,138 = 45,138 : x
  2. Step 2: Convert to fraction form
    22,262/45,138 = 45,138/x
  3. Step 3: Cross multiply
    22,262x = 45,138 × 45,138
  4. Step 4: Simplify right side
    22,262x = 2,037,439,044
  5. Step 5: Solve for x
    x = 2,037,439,044/22,262
  6. Step 6: Final answer
    x = 91,520.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.