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Finding the Third Proportional to 8,433 and 13,091

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Solution

The third proportional to 8,433 and 13,091 is: 20,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433 : 13,091 = 13,091 : x
  2. Step 2: Convert to fraction form
    8,433/13,091 = 13,091/x
  3. Step 3: Cross multiply
    8,433x = 13,091 × 13,091
  4. Step 4: Simplify right side
    8,433x = 171,374,281
  5. Step 5: Solve for x
    x = 171,374,281/8,433
  6. Step 6: Final answer
    x = 20,321.86

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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.