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Finding the Third Proportional to 16,093.13 and 23,217.05

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Solution

The third proportional to 16,093.13 and 23,217.05 is: 33,494.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,093.13 : 23,217.05 = 23,217.05 : x
  2. Step 2: Convert to fraction form
    16,093.13/23,217.05 = 23,217.05/x
  3. Step 3: Cross multiply
    16,093.13x = 23,217.05 × 23,217.05
  4. Step 4: Simplify right side
    16,093.13x = 539,031,265.60
  5. Step 5: Solve for x
    x = 539,031,265.60/16,093.13
  6. Step 6: Final answer
    x = 33,494.51

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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.