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Finding the Third Proportional to 10,097.16 and 16,769.91

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Solution

The third proportional to 10,097.16 and 16,769.91 is: 27,852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.16 : 16,769.91 = 16,769.91 : x
  2. Step 2: Convert to fraction form
    10,097.16/16,769.91 = 16,769.91/x
  3. Step 3: Cross multiply
    10,097.16x = 16,769.91 × 16,769.91
  4. Step 4: Simplify right side
    10,097.16x = 281,229,755.63
  5. Step 5: Solve for x
    x = 281,229,755.63/10,097.16
  6. Step 6: Final answer
    x = 27,852.37

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.