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Finding the Third Proportional to 22,471.17 and 48,446.23

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Solution

The third proportional to 22,471.17 and 48,446.23 is: 104,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.17 : 48,446.23 = 48,446.23 : x
  2. Step 2: Convert to fraction form
    22,471.17/48,446.23 = 48,446.23/x
  3. Step 3: Cross multiply
    22,471.17x = 48,446.23 × 48,446.23
  4. Step 4: Simplify right side
    22,471.17x = 2,347,036,868.15
  5. Step 5: Solve for x
    x = 2,347,036,868.15/22,471.17
  6. Step 6: Final answer
    x = 104,446.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.