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Finding the Third Proportional to 5,097.38 and 10,751.63

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Solution

The third proportional to 5,097.38 and 10,751.63 is: 22,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.38 : 10,751.63 = 10,751.63 : x
  2. Step 2: Convert to fraction form
    5,097.38/10,751.63 = 10,751.63/x
  3. Step 3: Cross multiply
    5,097.38x = 10,751.63 × 10,751.63
  4. Step 4: Simplify right side
    5,097.38x = 115,597,440.14
  5. Step 5: Solve for x
    x = 115,597,440.14/5,097.38
  6. Step 6: Final answer
    x = 22,677.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.