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Finding the Third Proportional to 38,714 and 57,919

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Solution

The third proportional to 38,714 and 57,919 is: 86,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,714 : 57,919 = 57,919 : x
  2. Step 2: Convert to fraction form
    38,714/57,919 = 57,919/x
  3. Step 3: Cross multiply
    38,714x = 57,919 × 57,919
  4. Step 4: Simplify right side
    38,714x = 3,354,610,561
  5. Step 5: Solve for x
    x = 3,354,610,561/38,714
  6. Step 6: Final answer
    x = 86,651.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.