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Finding the Third Proportional to 19,089 and 30,685.50

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Solution

The third proportional to 19,089 and 30,685.50 is: 49,326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,089 : 30,685.50 = 30,685.50 : x
  2. Step 2: Convert to fraction form
    19,089/30,685.50 = 30,685.50/x
  3. Step 3: Cross multiply
    19,089x = 30,685.50 × 30,685.50
  4. Step 4: Simplify right side
    19,089x = 941,599,910.25
  5. Step 5: Solve for x
    x = 941,599,910.25/19,089
  6. Step 6: Final answer
    x = 49,326.83

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.