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Finding the Third Proportional to 22,324 and 33,534

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Solution

The third proportional to 22,324 and 33,534 is: 50,373.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,324 : 33,534 = 33,534 : x
  2. Step 2: Convert to fraction form
    22,324/33,534 = 33,534/x
  3. Step 3: Cross multiply
    22,324x = 33,534 × 33,534
  4. Step 4: Simplify right side
    22,324x = 1,124,529,156
  5. Step 5: Solve for x
    x = 1,124,529,156/22,324
  6. Step 6: Final answer
    x = 50,373.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.