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Finding the Third Proportional to 22,034 and 48,082

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Solution

The third proportional to 22,034 and 48,082 is: 104,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034 : 48,082 = 48,082 : x
  2. Step 2: Convert to fraction form
    22,034/48,082 = 48,082/x
  3. Step 3: Cross multiply
    22,034x = 48,082 × 48,082
  4. Step 4: Simplify right side
    22,034x = 2,311,878,724
  5. Step 5: Solve for x
    x = 2,311,878,724/22,034
  6. Step 6: Final answer
    x = 104,923.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.