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Finding the Third Proportional to 19,820.50 and 27,179.50

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Solution

The third proportional to 19,820.50 and 27,179.50 is: 37,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.50 : 27,179.50 = 27,179.50 : x
  2. Step 2: Convert to fraction form
    19,820.50/27,179.50 = 27,179.50/x
  3. Step 3: Cross multiply
    19,820.50x = 27,179.50 × 27,179.50
  4. Step 4: Simplify right side
    19,820.50x = 738,725,220.25
  5. Step 5: Solve for x
    x = 738,725,220.25/19,820.50
  6. Step 6: Final answer
    x = 37,270.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.