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Finding the Third Proportional to 39,244 and 57,714

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Solution

The third proportional to 39,244 and 57,714 is: 84,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,244 : 57,714 = 57,714 : x
  2. Step 2: Convert to fraction form
    39,244/57,714 = 57,714/x
  3. Step 3: Cross multiply
    39,244x = 57,714 × 57,714
  4. Step 4: Simplify right side
    39,244x = 3,330,905,796
  5. Step 5: Solve for x
    x = 3,330,905,796/39,244
  6. Step 6: Final answer
    x = 84,876.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.