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Finding the Third Proportional to 19,165.75 and 26,391.75

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Solution

The third proportional to 19,165.75 and 26,391.75 is: 36,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,165.75 : 26,391.75 = 26,391.75 : x
  2. Step 2: Convert to fraction form
    19,165.75/26,391.75 = 26,391.75/x
  3. Step 3: Cross multiply
    19,165.75x = 26,391.75 × 26,391.75
  4. Step 4: Simplify right side
    19,165.75x = 696,524,468.06
  5. Step 5: Solve for x
    x = 696,524,468.06/19,165.75
  6. Step 6: Final answer
    x = 36,342.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.