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Finding the Third Proportional to 16,588.13 and 23,122.69

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Solution

The third proportional to 16,588.13 and 23,122.69 is: 32,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.13 : 23,122.69 = 23,122.69 : x
  2. Step 2: Convert to fraction form
    16,588.13/23,122.69 = 23,122.69/x
  3. Step 3: Cross multiply
    16,588.13x = 23,122.69 × 23,122.69
  4. Step 4: Simplify right side
    16,588.13x = 534,658,677.22
  5. Step 5: Solve for x
    x = 534,658,677.22/16,588.13
  6. Step 6: Final answer
    x = 32,231.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.