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Finding the Third Proportional to 22,302 and 30,376.69

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Solution

The third proportional to 22,302 and 30,376.69 is: 41,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302 : 30,376.69 = 30,376.69 : x
  2. Step 2: Convert to fraction form
    22,302/30,376.69 = 30,376.69/x
  3. Step 3: Cross multiply
    22,302x = 30,376.69 × 30,376.69
  4. Step 4: Simplify right side
    22,302x = 922,743,143.47
  5. Step 5: Solve for x
    x = 922,743,143.47/22,302
  6. Step 6: Final answer
    x = 41,374.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.