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Finding the Third Proportional to 20,548.69 and 33,437.81

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Solution

The third proportional to 20,548.69 and 33,437.81 is: 54,411.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.69 : 33,437.81 = 33,437.81 : x
  2. Step 2: Convert to fraction form
    20,548.69/33,437.81 = 33,437.81/x
  3. Step 3: Cross multiply
    20,548.69x = 33,437.81 × 33,437.81
  4. Step 4: Simplify right side
    20,548.69x = 1,118,087,304.79
  5. Step 5: Solve for x
    x = 1,118,087,304.79/20,548.69
  6. Step 6: Final answer
    x = 54,411.62

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.