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Finding the Third Proportional to 2,271.01 and 3,301.86

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Solution

The third proportional to 2,271.01 and 3,301.86 is: 4,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.01 : 3,301.86 = 3,301.86 : x
  2. Step 2: Convert to fraction form
    2,271.01/3,301.86 = 3,301.86/x
  3. Step 3: Cross multiply
    2,271.01x = 3,301.86 × 3,301.86
  4. Step 4: Simplify right side
    2,271.01x = 10,902,262.43
  5. Step 5: Solve for x
    x = 10,902,262.43/2,271.01
  6. Step 6: Final answer
    x = 4,800.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.