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Finding the Third Proportional to 3,782.25 and 5,157

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Solution

The third proportional to 3,782.25 and 5,157 is: 7,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.25 : 5,157 = 5,157 : x
  2. Step 2: Convert to fraction form
    3,782.25/5,157 = 5,157/x
  3. Step 3: Cross multiply
    3,782.25x = 5,157 × 5,157
  4. Step 4: Simplify right side
    3,782.25x = 26,594,649
  5. Step 5: Solve for x
    x = 26,594,649/3,782.25
  6. Step 6: Final answer
    x = 7,031.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.