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Finding the Third Proportional to 19,747.13 and 26,601.75

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Solution

The third proportional to 19,747.13 and 26,601.75 is: 35,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,747.13 : 26,601.75 = 26,601.75 : x
  2. Step 2: Convert to fraction form
    19,747.13/26,601.75 = 26,601.75/x
  3. Step 3: Cross multiply
    19,747.13x = 26,601.75 × 26,601.75
  4. Step 4: Simplify right side
    19,747.13x = 707,653,103.06
  5. Step 5: Solve for x
    x = 707,653,103.06/19,747.13
  6. Step 6: Final answer
    x = 35,835.75

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.