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Finding the Third Proportional to 8,191.76 and 13,410.56

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Solution

The third proportional to 8,191.76 and 13,410.56 is: 21,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.76 : 13,410.56 = 13,410.56 : x
  2. Step 2: Convert to fraction form
    8,191.76/13,410.56 = 13,410.56/x
  3. Step 3: Cross multiply
    8,191.76x = 13,410.56 × 13,410.56
  4. Step 4: Simplify right side
    8,191.76x = 179,843,186.57
  5. Step 5: Solve for x
    x = 179,843,186.57/8,191.76
  6. Step 6: Final answer
    x = 21,954.16

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.