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Finding the Third Proportional to 22,816 and 33,436

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Solution

The third proportional to 22,816 and 33,436 is: 48,999.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816 : 33,436 = 33,436 : x
  2. Step 2: Convert to fraction form
    22,816/33,436 = 33,436/x
  3. Step 3: Cross multiply
    22,816x = 33,436 × 33,436
  4. Step 4: Simplify right side
    22,816x = 1,117,966,096
  5. Step 5: Solve for x
    x = 1,117,966,096/22,816
  6. Step 6: Final answer
    x = 48,999.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.