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Finding the Third Proportional to 9,134 and 13,764

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Solution

The third proportional to 9,134 and 13,764 is: 20,740.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134 : 13,764 = 13,764 : x
  2. Step 2: Convert to fraction form
    9,134/13,764 = 13,764/x
  3. Step 3: Cross multiply
    9,134x = 13,764 × 13,764
  4. Step 4: Simplify right side
    9,134x = 189,447,696
  5. Step 5: Solve for x
    x = 189,447,696/9,134
  6. Step 6: Final answer
    x = 20,740.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.