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Finding the Third Proportional to 22,082 and 45,136

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Solution

The third proportional to 22,082 and 45,136 is: 92,258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082 : 45,136 = 45,136 : x
  2. Step 2: Convert to fraction form
    22,082/45,136 = 45,136/x
  3. Step 3: Cross multiply
    22,082x = 45,136 × 45,136
  4. Step 4: Simplify right side
    22,082x = 2,037,258,496
  5. Step 5: Solve for x
    x = 2,037,258,496/22,082
  6. Step 6: Final answer
    x = 92,258.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.