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Finding the Third Proportional to 8,207 and 12,731

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Solution

The third proportional to 8,207 and 12,731 is: 19,748.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207 : 12,731 = 12,731 : x
  2. Step 2: Convert to fraction form
    8,207/12,731 = 12,731/x
  3. Step 3: Cross multiply
    8,207x = 12,731 × 12,731
  4. Step 4: Simplify right side
    8,207x = 162,078,361
  5. Step 5: Solve for x
    x = 162,078,361/8,207
  6. Step 6: Final answer
    x = 19,748.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.