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Finding the Third Proportional to 41,031 and 59,287.50

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Solution

The third proportional to 41,031 and 59,287.50 is: 85,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,031 : 59,287.50 = 59,287.50 : x
  2. Step 2: Convert to fraction form
    41,031/59,287.50 = 59,287.50/x
  3. Step 3: Cross multiply
    41,031x = 59,287.50 × 59,287.50
  4. Step 4: Simplify right side
    41,031x = 3,515,007,656.25
  5. Step 5: Solve for x
    x = 3,515,007,656.25/41,031
  6. Step 6: Final answer
    x = 85,667.12

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.