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Finding the Third Proportional to 14,589.31 and 32,015.31

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Solution

The third proportional to 14,589.31 and 32,015.31 is: 70,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.31 : 32,015.31 = 32,015.31 : x
  2. Step 2: Convert to fraction form
    14,589.31/32,015.31 = 32,015.31/x
  3. Step 3: Cross multiply
    14,589.31x = 32,015.31 × 32,015.31
  4. Step 4: Simplify right side
    14,589.31x = 1,024,980,234.47
  5. Step 5: Solve for x
    x = 1,024,980,234.47/14,589.31
  6. Step 6: Final answer
    x = 70,255.55

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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.