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Finding the Third Proportional to 2,564.44 and 3,963.38

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Solution

The third proportional to 2,564.44 and 3,963.38 is: 6,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.44 : 3,963.38 = 3,963.38 : x
  2. Step 2: Convert to fraction form
    2,564.44/3,963.38 = 3,963.38/x
  3. Step 3: Cross multiply
    2,564.44x = 3,963.38 × 3,963.38
  4. Step 4: Simplify right side
    2,564.44x = 15,708,341.39
  5. Step 5: Solve for x
    x = 15,708,341.39/2,564.44
  6. Step 6: Final answer
    x = 6,125.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.