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Finding the Third Proportional to 18,416 and 28,714

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Solution

The third proportional to 18,416 and 28,714 is: 44,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,416 : 28,714 = 28,714 : x
  2. Step 2: Convert to fraction form
    18,416/28,714 = 28,714/x
  3. Step 3: Cross multiply
    18,416x = 28,714 × 28,714
  4. Step 4: Simplify right side
    18,416x = 824,493,796
  5. Step 5: Solve for x
    x = 824,493,796/18,416
  6. Step 6: Final answer
    x = 44,770.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.