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Finding the Third Proportional to 22,529 and 32,451.50

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Solution

The third proportional to 22,529 and 32,451.50 is: 46,744.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,529 : 32,451.50 = 32,451.50 : x
  2. Step 2: Convert to fraction form
    22,529/32,451.50 = 32,451.50/x
  3. Step 3: Cross multiply
    22,529x = 32,451.50 × 32,451.50
  4. Step 4: Simplify right side
    22,529x = 1,053,099,852.25
  5. Step 5: Solve for x
    x = 1,053,099,852.25/22,529
  6. Step 6: Final answer
    x = 46,744.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.