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Finding the Third Proportional to 19,926 and 29,839.50

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Solution

The third proportional to 19,926 and 29,839.50 is: 44,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,926 : 29,839.50 = 29,839.50 : x
  2. Step 2: Convert to fraction form
    19,926/29,839.50 = 29,839.50/x
  3. Step 3: Cross multiply
    19,926x = 29,839.50 × 29,839.50
  4. Step 4: Simplify right side
    19,926x = 890,395,760.25
  5. Step 5: Solve for x
    x = 890,395,760.25/19,926
  6. Step 6: Final answer
    x = 44,685.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.