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Finding the Third Proportional to 15,162 and 23,223

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Solution

The third proportional to 15,162 and 23,223 is: 35,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,162 : 23,223 = 23,223 : x
  2. Step 2: Convert to fraction form
    15,162/23,223 = 23,223/x
  3. Step 3: Cross multiply
    15,162x = 23,223 × 23,223
  4. Step 4: Simplify right side
    15,162x = 539,307,729
  5. Step 5: Solve for x
    x = 539,307,729/15,162
  6. Step 6: Final answer
    x = 35,569.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.