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Finding the Third Proportional to 22,526 and 33,110

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Solution

The third proportional to 22,526 and 33,110 is: 48,666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,526 : 33,110 = 33,110 : x
  2. Step 2: Convert to fraction form
    22,526/33,110 = 33,110/x
  3. Step 3: Cross multiply
    22,526x = 33,110 × 33,110
  4. Step 4: Simplify right side
    22,526x = 1,096,272,100
  5. Step 5: Solve for x
    x = 1,096,272,100/22,526
  6. Step 6: Final answer
    x = 48,666.97

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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.