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Finding the Third Proportional to 19,221 and 41,723

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Solution

The third proportional to 19,221 and 41,723 is: 90,568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,221 : 41,723 = 41,723 : x
  2. Step 2: Convert to fraction form
    19,221/41,723 = 41,723/x
  3. Step 3: Cross multiply
    19,221x = 41,723 × 41,723
  4. Step 4: Simplify right side
    19,221x = 1,740,808,729
  5. Step 5: Solve for x
    x = 1,740,808,729/19,221
  6. Step 6: Final answer
    x = 90,568.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.