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Finding the Third Proportional to 12,534.25 and 16,707.75

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Solution

The third proportional to 12,534.25 and 16,707.75 is: 22,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.25 : 16,707.75 = 16,707.75 : x
  2. Step 2: Convert to fraction form
    12,534.25/16,707.75 = 16,707.75/x
  3. Step 3: Cross multiply
    12,534.25x = 16,707.75 × 16,707.75
  4. Step 4: Simplify right side
    12,534.25x = 279,148,910.06
  5. Step 5: Solve for x
    x = 279,148,910.06/12,534.25
  6. Step 6: Final answer
    x = 22,270.89

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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.