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Finding the Third Proportional to 15,428.81 and 33,262.31

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Solution

The third proportional to 15,428.81 and 33,262.31 is: 71,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,428.81 : 33,262.31 = 33,262.31 : x
  2. Step 2: Convert to fraction form
    15,428.81/33,262.31 = 33,262.31/x
  3. Step 3: Cross multiply
    15,428.81x = 33,262.31 × 33,262.31
  4. Step 4: Simplify right side
    15,428.81x = 1,106,381,432.85
  5. Step 5: Solve for x
    x = 1,106,381,432.85/15,428.81
  6. Step 6: Final answer
    x = 71,708.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.