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Finding the Third Proportional to 19,791 and 27,769.50

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Solution

The third proportional to 19,791 and 27,769.50 is: 38,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,791 : 27,769.50 = 27,769.50 : x
  2. Step 2: Convert to fraction form
    19,791/27,769.50 = 27,769.50/x
  3. Step 3: Cross multiply
    19,791x = 27,769.50 × 27,769.50
  4. Step 4: Simplify right side
    19,791x = 771,145,130.25
  5. Step 5: Solve for x
    x = 771,145,130.25/19,791
  6. Step 6: Final answer
    x = 38,964.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.