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Finding the Third Proportional to 40,038.05 and 85,015.83

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Solution

The third proportional to 40,038.05 and 85,015.83 is: 180,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,038.05 : 85,015.83 = 85,015.83 : x
  2. Step 2: Convert to fraction form
    40,038.05/85,015.83 = 85,015.83/x
  3. Step 3: Cross multiply
    40,038.05x = 85,015.83 × 85,015.83
  4. Step 4: Simplify right side
    40,038.05x = 7,227,691,031.78
  5. Step 5: Solve for x
    x = 7,227,691,031.78/40,038.05
  6. Step 6: Final answer
    x = 180,520.57

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.