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Finding the Third Proportional to 19,122.75 and 26,173.13

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Solution

The third proportional to 19,122.75 and 26,173.13 is: 35,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122.75 : 26,173.13 = 26,173.13 : x
  2. Step 2: Convert to fraction form
    19,122.75/26,173.13 = 26,173.13/x
  3. Step 3: Cross multiply
    19,122.75x = 26,173.13 × 26,173.13
  4. Step 4: Simplify right side
    19,122.75x = 685,032,472.27
  5. Step 5: Solve for x
    x = 685,032,472.27/19,122.75
  6. Step 6: Final answer
    x = 35,822.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.