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Finding the Third Proportional to 2,342.91 and 3,479.12

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Solution

The third proportional to 2,342.91 and 3,479.12 is: 5,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.91 : 3,479.12 = 3,479.12 : x
  2. Step 2: Convert to fraction form
    2,342.91/3,479.12 = 3,479.12/x
  3. Step 3: Cross multiply
    2,342.91x = 3,479.12 × 3,479.12
  4. Step 4: Simplify right side
    2,342.91x = 12,104,303.97
  5. Step 5: Solve for x
    x = 12,104,303.97/2,342.91
  6. Step 6: Final answer
    x = 5,166.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.