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Finding the Third Proportional to 22,201.50 and 32,964

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Solution

The third proportional to 22,201.50 and 32,964 is: 48,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,201.50 : 32,964 = 32,964 : x
  2. Step 2: Convert to fraction form
    22,201.50/32,964 = 32,964/x
  3. Step 3: Cross multiply
    22,201.50x = 32,964 × 32,964
  4. Step 4: Simplify right side
    22,201.50x = 1,086,625,296
  5. Step 5: Solve for x
    x = 1,086,625,296/22,201.50
  6. Step 6: Final answer
    x = 48,943.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.