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Finding the Third Proportional to 19,120.75 and 41,009.75

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Solution

The third proportional to 19,120.75 and 41,009.75 is: 87,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,120.75 : 41,009.75 = 41,009.75 : x
  2. Step 2: Convert to fraction form
    19,120.75/41,009.75 = 41,009.75/x
  3. Step 3: Cross multiply
    19,120.75x = 41,009.75 × 41,009.75
  4. Step 4: Simplify right side
    19,120.75x = 1,681,799,595.06
  5. Step 5: Solve for x
    x = 1,681,799,595.06/19,120.75
  6. Step 6: Final answer
    x = 87,956.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.