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Finding the Third Proportional to 8,257 and 12,417

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Solution

The third proportional to 8,257 and 12,417 is: 18,672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257 : 12,417 = 12,417 : x
  2. Step 2: Convert to fraction form
    8,257/12,417 = 12,417/x
  3. Step 3: Cross multiply
    8,257x = 12,417 × 12,417
  4. Step 4: Simplify right side
    8,257x = 154,181,889
  5. Step 5: Solve for x
    x = 154,181,889/8,257
  6. Step 6: Final answer
    x = 18,672.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.