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Finding the Third Proportional to 19,227.38 and 39,985.31

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Solution

The third proportional to 19,227.38 and 39,985.31 is: 83,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,227.38 : 39,985.31 = 39,985.31 : x
  2. Step 2: Convert to fraction form
    19,227.38/39,985.31 = 39,985.31/x
  3. Step 3: Cross multiply
    19,227.38x = 39,985.31 × 39,985.31
  4. Step 4: Simplify right side
    19,227.38x = 1,598,825,215.72
  5. Step 5: Solve for x
    x = 1,598,825,215.72/19,227.38
  6. Step 6: Final answer
    x = 83,153.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.