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Finding the Third Proportional to 21,002.84 and 33,272.96

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Solution

The third proportional to 21,002.84 and 33,272.96 is: 52,711.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.84 : 33,272.96 = 33,272.96 : x
  2. Step 2: Convert to fraction form
    21,002.84/33,272.96 = 33,272.96/x
  3. Step 3: Cross multiply
    21,002.84x = 33,272.96 × 33,272.96
  4. Step 4: Simplify right side
    21,002.84x = 1,107,090,189.49
  5. Step 5: Solve for x
    x = 1,107,090,189.49/21,002.84
  6. Step 6: Final answer
    x = 52,711.46

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.