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Finding the Third Proportional to 10,231.31 and 14,486.34

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Solution

The third proportional to 10,231.31 and 14,486.34 is: 20,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.31 : 14,486.34 = 14,486.34 : x
  2. Step 2: Convert to fraction form
    10,231.31/14,486.34 = 14,486.34/x
  3. Step 3: Cross multiply
    10,231.31x = 14,486.34 × 14,486.34
  4. Step 4: Simplify right side
    10,231.31x = 209,854,155.24
  5. Step 5: Solve for x
    x = 209,854,155.24/10,231.31
  6. Step 6: Final answer
    x = 20,510.97

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.