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Finding the Third Proportional to 22,230.70 and 32,513.27

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Solution

The third proportional to 22,230.70 and 32,513.27 is: 47,551.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,230.70 : 32,513.27 = 32,513.27 : x
  2. Step 2: Convert to fraction form
    22,230.70/32,513.27 = 32,513.27/x
  3. Step 3: Cross multiply
    22,230.70x = 32,513.27 × 32,513.27
  4. Step 4: Simplify right side
    22,230.70x = 1,057,112,949.62
  5. Step 5: Solve for x
    x = 1,057,112,949.62/22,230.70
  6. Step 6: Final answer
    x = 47,551.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.