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Finding the Third Proportional to 13,235.06 and 20,501.44

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Solution

The third proportional to 13,235.06 and 20,501.44 is: 31,757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,235.06 : 20,501.44 = 20,501.44 : x
  2. Step 2: Convert to fraction form
    13,235.06/20,501.44 = 20,501.44/x
  3. Step 3: Cross multiply
    13,235.06x = 20,501.44 × 20,501.44
  4. Step 4: Simplify right side
    13,235.06x = 420,308,939.57
  5. Step 5: Solve for x
    x = 420,308,939.57/13,235.06
  6. Step 6: Final answer
    x = 31,757.23

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Why These Related Problems?

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