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Finding the Third Proportional to 3,412.92 and 5,271.01

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Solution

The third proportional to 3,412.92 and 5,271.01 is: 8,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.92 : 5,271.01 = 5,271.01 : x
  2. Step 2: Convert to fraction form
    3,412.92/5,271.01 = 5,271.01/x
  3. Step 3: Cross multiply
    3,412.92x = 5,271.01 × 5,271.01
  4. Step 4: Simplify right side
    3,412.92x = 27,783,564.54
  5. Step 5: Solve for x
    x = 27,783,564.54/3,412.92
  6. Step 6: Final answer
    x = 8,140.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.