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Finding the Third Proportional to 19,139.75 and 27,220.50

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Solution

The third proportional to 19,139.75 and 27,220.50 is: 38,712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,139.75 : 27,220.50 = 27,220.50 : x
  2. Step 2: Convert to fraction form
    19,139.75/27,220.50 = 27,220.50/x
  3. Step 3: Cross multiply
    19,139.75x = 27,220.50 × 27,220.50
  4. Step 4: Simplify right side
    19,139.75x = 740,955,620.25
  5. Step 5: Solve for x
    x = 740,955,620.25/19,139.75
  6. Step 6: Final answer
    x = 38,712.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.