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Finding the Third Proportional to 22,564 and 33,716

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Solution

The third proportional to 22,564 and 33,716 is: 50,379.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564 : 33,716 = 33,716 : x
  2. Step 2: Convert to fraction form
    22,564/33,716 = 33,716/x
  3. Step 3: Cross multiply
    22,564x = 33,716 × 33,716
  4. Step 4: Simplify right side
    22,564x = 1,136,768,656
  5. Step 5: Solve for x
    x = 1,136,768,656/22,564
  6. Step 6: Final answer
    x = 50,379.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.