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Finding the Third Proportional to 15,714 and 34,197

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Solution

The third proportional to 15,714 and 34,197 is: 74,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714 : 34,197 = 34,197 : x
  2. Step 2: Convert to fraction form
    15,714/34,197 = 34,197/x
  3. Step 3: Cross multiply
    15,714x = 34,197 × 34,197
  4. Step 4: Simplify right side
    15,714x = 1,169,434,809
  5. Step 5: Solve for x
    x = 1,169,434,809/15,714
  6. Step 6: Final answer
    x = 74,419.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.