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Finding the Third Proportional to 8,154 and 13,386

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Solution

The third proportional to 8,154 and 13,386 is: 21,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154 : 13,386 = 13,386 : x
  2. Step 2: Convert to fraction form
    8,154/13,386 = 13,386/x
  3. Step 3: Cross multiply
    8,154x = 13,386 × 13,386
  4. Step 4: Simplify right side
    8,154x = 179,184,996
  5. Step 5: Solve for x
    x = 179,184,996/8,154
  6. Step 6: Final answer
    x = 21,975.10

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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.