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Finding the Third Proportional to 2,746.41 and 5,924.39

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Solution

The third proportional to 2,746.41 and 5,924.39 is: 12,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.41 : 5,924.39 = 5,924.39 : x
  2. Step 2: Convert to fraction form
    2,746.41/5,924.39 = 5,924.39/x
  3. Step 3: Cross multiply
    2,746.41x = 5,924.39 × 5,924.39
  4. Step 4: Simplify right side
    2,746.41x = 35,098,404.28
  5. Step 5: Solve for x
    x = 35,098,404.28/2,746.41
  6. Step 6: Final answer
    x = 12,779.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.