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Finding the Third Proportional to 2,548.42 and 3,898.68

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Solution

The third proportional to 2,548.42 and 3,898.68 is: 5,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.42 : 3,898.68 = 3,898.68 : x
  2. Step 2: Convert to fraction form
    2,548.42/3,898.68 = 3,898.68/x
  3. Step 3: Cross multiply
    2,548.42x = 3,898.68 × 3,898.68
  4. Step 4: Simplify right side
    2,548.42x = 15,199,695.69
  5. Step 5: Solve for x
    x = 15,199,695.69/2,548.42
  6. Step 6: Final answer
    x = 5,964.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.