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Finding the Third Proportional to 41,483.75 and 91,031.50

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Solution

The third proportional to 41,483.75 and 91,031.50 is: 199,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,483.75 : 91,031.50 = 91,031.50 : x
  2. Step 2: Convert to fraction form
    41,483.75/91,031.50 = 91,031.50/x
  3. Step 3: Cross multiply
    41,483.75x = 91,031.50 × 91,031.50
  4. Step 4: Simplify right side
    41,483.75x = 8,286,733,992.25
  5. Step 5: Solve for x
    x = 8,286,733,992.25/41,483.75
  6. Step 6: Final answer
    x = 199,758.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.