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Finding the Third Proportional to 12,465 and 16,791.75

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Solution

The third proportional to 12,465 and 16,791.75 is: 22,620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465 : 16,791.75 = 16,791.75 : x
  2. Step 2: Convert to fraction form
    12,465/16,791.75 = 16,791.75/x
  3. Step 3: Cross multiply
    12,465x = 16,791.75 × 16,791.75
  4. Step 4: Simplify right side
    12,465x = 281,962,868.06
  5. Step 5: Solve for x
    x = 281,962,868.06/12,465
  6. Step 6: Final answer
    x = 22,620.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.