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Finding the Third Proportional to 20,714 and 44,929

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Solution

The third proportional to 20,714 and 44,929 is: 97,451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714 : 44,929 = 44,929 : x
  2. Step 2: Convert to fraction form
    20,714/44,929 = 44,929/x
  3. Step 3: Cross multiply
    20,714x = 44,929 × 44,929
  4. Step 4: Simplify right side
    20,714x = 2,018,615,041
  5. Step 5: Solve for x
    x = 2,018,615,041/20,714
  6. Step 6: Final answer
    x = 97,451.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.