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Finding the Third Proportional to 19,350.50 and 39,521

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Solution

The third proportional to 19,350.50 and 39,521 is: 80,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,350.50 : 39,521 = 39,521 : x
  2. Step 2: Convert to fraction form
    19,350.50/39,521 = 39,521/x
  3. Step 3: Cross multiply
    19,350.50x = 39,521 × 39,521
  4. Step 4: Simplify right side
    19,350.50x = 1,561,909,441
  5. Step 5: Solve for x
    x = 1,561,909,441/19,350.50
  6. Step 6: Final answer
    x = 80,716.75

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.