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Finding the Third Proportional to 1,571.91 and 2,917.90

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Solution

The third proportional to 1,571.91 and 2,917.90 is: 5,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.91 : 2,917.90 = 2,917.90 : x
  2. Step 2: Convert to fraction form
    1,571.91/2,917.90 = 2,917.90/x
  3. Step 3: Cross multiply
    1,571.91x = 2,917.90 × 2,917.90
  4. Step 4: Simplify right side
    1,571.91x = 8,514,131.29
  5. Step 5: Solve for x
    x = 8,514,131.29/1,571.91
  6. Step 6: Final answer
    x = 5,416.44

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.