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Finding the Third Proportional to 5,176.41 and 7,091.30

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Solution

The third proportional to 5,176.41 and 7,091.30 is: 9,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.41 : 7,091.30 = 7,091.30 : x
  2. Step 2: Convert to fraction form
    5,176.41/7,091.30 = 7,091.30/x
  3. Step 3: Cross multiply
    5,176.41x = 7,091.30 × 7,091.30
  4. Step 4: Simplify right side
    5,176.41x = 50,286,491.37
  5. Step 5: Solve for x
    x = 50,286,491.37/5,176.41
  6. Step 6: Final answer
    x = 9,714.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.