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Finding the Third Proportional to 12,305.25 and 16,332.75

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Solution

The third proportional to 12,305.25 and 16,332.75 is: 21,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.25 : 16,332.75 = 16,332.75 : x
  2. Step 2: Convert to fraction form
    12,305.25/16,332.75 = 16,332.75/x
  3. Step 3: Cross multiply
    12,305.25x = 16,332.75 × 16,332.75
  4. Step 4: Simplify right side
    12,305.25x = 266,758,722.56
  5. Step 5: Solve for x
    x = 266,758,722.56/12,305.25
  6. Step 6: Final answer
    x = 21,678.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.