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Finding the Third Proportional to 8,471 and 13,091

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Solution

The third proportional to 8,471 and 13,091 is: 20,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471 : 13,091 = 13,091 : x
  2. Step 2: Convert to fraction form
    8,471/13,091 = 13,091/x
  3. Step 3: Cross multiply
    8,471x = 13,091 × 13,091
  4. Step 4: Simplify right side
    8,471x = 171,374,281
  5. Step 5: Solve for x
    x = 171,374,281/8,471
  6. Step 6: Final answer
    x = 20,230.70

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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.