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Finding the Third Proportional to 6,197 and 13,257

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Solution

The third proportional to 6,197 and 13,257 is: 28,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197 : 13,257 = 13,257 : x
  2. Step 2: Convert to fraction form
    6,197/13,257 = 13,257/x
  3. Step 3: Cross multiply
    6,197x = 13,257 × 13,257
  4. Step 4: Simplify right side
    6,197x = 175,748,049
  5. Step 5: Solve for x
    x = 175,748,049/6,197
  6. Step 6: Final answer
    x = 28,360.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.