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Finding the Third Proportional to 19,203 and 27,016.50

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Solution

The third proportional to 19,203 and 27,016.50 is: 38,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,203 : 27,016.50 = 27,016.50 : x
  2. Step 2: Convert to fraction form
    19,203/27,016.50 = 27,016.50/x
  3. Step 3: Cross multiply
    19,203x = 27,016.50 × 27,016.50
  4. Step 4: Simplify right side
    19,203x = 729,891,272.25
  5. Step 5: Solve for x
    x = 729,891,272.25/19,203
  6. Step 6: Final answer
    x = 38,009.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.