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Finding the Third Proportional to 13,264.38 and 20,703.73

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Solution

The third proportional to 13,264.38 and 20,703.73 is: 32,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.38 : 20,703.73 = 20,703.73 : x
  2. Step 2: Convert to fraction form
    13,264.38/20,703.73 = 20,703.73/x
  3. Step 3: Cross multiply
    13,264.38x = 20,703.73 × 20,703.73
  4. Step 4: Simplify right side
    13,264.38x = 428,644,293.57
  5. Step 5: Solve for x
    x = 428,644,293.57/13,264.38
  6. Step 6: Final answer
    x = 32,315.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.