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Finding the Third Proportional to 19,653.75 and 41,526

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Solution

The third proportional to 19,653.75 and 41,526 is: 87,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,653.75 : 41,526 = 41,526 : x
  2. Step 2: Convert to fraction form
    19,653.75/41,526 = 41,526/x
  3. Step 3: Cross multiply
    19,653.75x = 41,526 × 41,526
  4. Step 4: Simplify right side
    19,653.75x = 1,724,408,676
  5. Step 5: Solve for x
    x = 1,724,408,676/19,653.75
  6. Step 6: Final answer
    x = 87,739.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.