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Finding the Third Proportional to 14,605.31 and 32,027.91

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Solution

The third proportional to 14,605.31 and 32,027.91 is: 70,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.31 : 32,027.91 = 32,027.91 : x
  2. Step 2: Convert to fraction form
    14,605.31/32,027.91 = 32,027.91/x
  3. Step 3: Cross multiply
    14,605.31x = 32,027.91 × 32,027.91
  4. Step 4: Simplify right side
    14,605.31x = 1,025,786,778.76
  5. Step 5: Solve for x
    x = 1,025,786,778.76/14,605.31
  6. Step 6: Final answer
    x = 70,233.81

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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.