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Finding the Third Proportional to 5,680.13 and 10,698.75

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Solution

The third proportional to 5,680.13 and 10,698.75 is: 20,151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.13 : 10,698.75 = 10,698.75 : x
  2. Step 2: Convert to fraction form
    5,680.13/10,698.75 = 10,698.75/x
  3. Step 3: Cross multiply
    5,680.13x = 10,698.75 × 10,698.75
  4. Step 4: Simplify right side
    5,680.13x = 114,463,251.56
  5. Step 5: Solve for x
    x = 114,463,251.56/5,680.13
  6. Step 6: Final answer
    x = 20,151.54

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.