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Finding the Third Proportional to 13,605.47 and 21,022.03

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Solution

The third proportional to 13,605.47 and 21,022.03 is: 32,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.47 : 21,022.03 = 21,022.03 : x
  2. Step 2: Convert to fraction form
    13,605.47/21,022.03 = 21,022.03/x
  3. Step 3: Cross multiply
    13,605.47x = 21,022.03 × 21,022.03
  4. Step 4: Simplify right side
    13,605.47x = 441,925,797.88
  5. Step 5: Solve for x
    x = 441,925,797.88/13,605.47
  6. Step 6: Final answer
    x = 32,481.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.