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Finding the Third Proportional to 11,268 and 26,084.81

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Solution

The third proportional to 11,268 and 26,084.81 is: 60,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,268 : 26,084.81 = 26,084.81 : x
  2. Step 2: Convert to fraction form
    11,268/26,084.81 = 26,084.81/x
  3. Step 3: Cross multiply
    11,268x = 26,084.81 × 26,084.81
  4. Step 4: Simplify right side
    11,268x = 680,417,443.16
  5. Step 5: Solve for x
    x = 680,417,443.16/11,268
  6. Step 6: Final answer
    x = 60,384.93

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.