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Finding the Third Proportional to 19,129.92 and 41,023.55

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Solution

The third proportional to 19,129.92 and 41,023.55 is: 87,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,129.92 : 41,023.55 = 41,023.55 : x
  2. Step 2: Convert to fraction form
    19,129.92/41,023.55 = 41,023.55/x
  3. Step 3: Cross multiply
    19,129.92x = 41,023.55 × 41,023.55
  4. Step 4: Simplify right side
    19,129.92x = 1,682,931,398.21
  5. Step 5: Solve for x
    x = 1,682,931,398.21/19,129.92
  6. Step 6: Final answer
    x = 87,973.77

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