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Finding the Third Proportional to 37,296 and 56,918

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Solution

The third proportional to 37,296 and 56,918 is: 86,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,296 : 56,918 = 56,918 : x
  2. Step 2: Convert to fraction form
    37,296/56,918 = 56,918/x
  3. Step 3: Cross multiply
    37,296x = 56,918 × 56,918
  4. Step 4: Simplify right side
    37,296x = 3,239,658,724
  5. Step 5: Solve for x
    x = 3,239,658,724/37,296
  6. Step 6: Final answer
    x = 86,863.44

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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.