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Finding the Third Proportional to 13,304.06 and 20,012.06

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Solution

The third proportional to 13,304.06 and 20,012.06 is: 30,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,304.06 : 20,012.06 = 20,012.06 : x
  2. Step 2: Convert to fraction form
    13,304.06/20,012.06 = 20,012.06/x
  3. Step 3: Cross multiply
    13,304.06x = 20,012.06 × 20,012.06
  4. Step 4: Simplify right side
    13,304.06x = 400,482,645.50
  5. Step 5: Solve for x
    x = 400,482,645.50/13,304.06
  6. Step 6: Final answer
    x = 30,102.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.