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Finding the Third Proportional to 2,644.93 and 3,873.47

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Solution

The third proportional to 2,644.93 and 3,873.47 is: 5,672.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.93 : 3,873.47 = 3,873.47 : x
  2. Step 2: Convert to fraction form
    2,644.93/3,873.47 = 3,873.47/x
  3. Step 3: Cross multiply
    2,644.93x = 3,873.47 × 3,873.47
  4. Step 4: Simplify right side
    2,644.93x = 15,003,760.51
  5. Step 5: Solve for x
    x = 15,003,760.51/2,644.93
  6. Step 6: Final answer
    x = 5,672.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.