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Finding the Third Proportional to 10,757.81 and 14,524.31

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Solution

The third proportional to 10,757.81 and 14,524.31 is: 19,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.81 : 14,524.31 = 14,524.31 : x
  2. Step 2: Convert to fraction form
    10,757.81/14,524.31 = 14,524.31/x
  3. Step 3: Cross multiply
    10,757.81x = 14,524.31 × 14,524.31
  4. Step 4: Simplify right side
    10,757.81x = 210,955,653.60
  5. Step 5: Solve for x
    x = 210,955,653.60/10,757.81
  6. Step 6: Final answer
    x = 19,609.53

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.