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Finding the Third Proportional to 18,714 and 29,197

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Solution

The third proportional to 18,714 and 29,197 is: 45,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,714 : 29,197 = 29,197 : x
  2. Step 2: Convert to fraction form
    18,714/29,197 = 29,197/x
  3. Step 3: Cross multiply
    18,714x = 29,197 × 29,197
  4. Step 4: Simplify right side
    18,714x = 852,464,809
  5. Step 5: Solve for x
    x = 852,464,809/18,714
  6. Step 6: Final answer
    x = 45,552.25

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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.