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Finding the Third Proportional to 14,941.13 and 20,301.47

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Solution

The third proportional to 14,941.13 and 20,301.47 is: 27,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,941.13 : 20,301.47 = 20,301.47 : x
  2. Step 2: Convert to fraction form
    14,941.13/20,301.47 = 20,301.47/x
  3. Step 3: Cross multiply
    14,941.13x = 20,301.47 × 20,301.47
  4. Step 4: Simplify right side
    14,941.13x = 412,149,633.41
  5. Step 5: Solve for x
    x = 412,149,633.41/14,941.13
  6. Step 6: Final answer
    x = 27,584.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.