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Finding the Third Proportional to 16,197.47 and 20,696.77

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Solution

The third proportional to 16,197.47 and 20,696.77 is: 26,445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,197.47 : 20,696.77 = 20,696.77 : x
  2. Step 2: Convert to fraction form
    16,197.47/20,696.77 = 20,696.77/x
  3. Step 3: Cross multiply
    16,197.47x = 20,696.77 × 20,696.77
  4. Step 4: Simplify right side
    16,197.47x = 428,356,107.34
  5. Step 5: Solve for x
    x = 428,356,107.34/16,197.47
  6. Step 6: Final answer
    x = 26,445.87

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.