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Finding the Third Proportional to 20,044 and 35,714

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Solution

The third proportional to 20,044 and 35,714 is: 63,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,044 : 35,714 = 35,714 : x
  2. Step 2: Convert to fraction form
    20,044/35,714 = 35,714/x
  3. Step 3: Cross multiply
    20,044x = 35,714 × 35,714
  4. Step 4: Simplify right side
    20,044x = 1,275,489,796
  5. Step 5: Solve for x
    x = 1,275,489,796/20,044
  6. Step 6: Final answer
    x = 63,634.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.