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Finding the Third Proportional to 13,152.38 and 20,003.06

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Solution

The third proportional to 13,152.38 and 20,003.06 is: 30,422.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.38 : 20,003.06 = 20,003.06 : x
  2. Step 2: Convert to fraction form
    13,152.38/20,003.06 = 20,003.06/x
  3. Step 3: Cross multiply
    13,152.38x = 20,003.06 × 20,003.06
  4. Step 4: Simplify right side
    13,152.38x = 400,122,509.38
  5. Step 5: Solve for x
    x = 400,122,509.38/13,152.38
  6. Step 6: Final answer
    x = 30,422.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.