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Finding the Third Proportional to 12,809.50 and 27,137

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Solution

The third proportional to 12,809.50 and 27,137 is: 57,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.50 : 27,137 = 27,137 : x
  2. Step 2: Convert to fraction form
    12,809.50/27,137 = 27,137/x
  3. Step 3: Cross multiply
    12,809.50x = 27,137 × 27,137
  4. Step 4: Simplify right side
    12,809.50x = 736,416,769
  5. Step 5: Solve for x
    x = 736,416,769/12,809.50
  6. Step 6: Final answer
    x = 57,489.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.