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Finding the Third Proportional to 37,256 and 56,181

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Solution

The third proportional to 37,256 and 56,181 is: 84,719.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,256 : 56,181 = 56,181 : x
  2. Step 2: Convert to fraction form
    37,256/56,181 = 56,181/x
  3. Step 3: Cross multiply
    37,256x = 56,181 × 56,181
  4. Step 4: Simplify right side
    37,256x = 3,156,304,761
  5. Step 5: Solve for x
    x = 3,156,304,761/37,256
  6. Step 6: Final answer
    x = 84,719.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.