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Finding the Third Proportional to 2,564.81 and 3,924.94

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Solution

The third proportional to 2,564.81 and 3,924.94 is: 6,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.81 : 3,924.94 = 3,924.94 : x
  2. Step 2: Convert to fraction form
    2,564.81/3,924.94 = 3,924.94/x
  3. Step 3: Cross multiply
    2,564.81x = 3,924.94 × 3,924.94
  4. Step 4: Simplify right side
    2,564.81x = 15,405,134.38
  5. Step 5: Solve for x
    x = 15,405,134.38/2,564.81
  6. Step 6: Final answer
    x = 6,006.34

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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.