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Finding the Third Proportional to 9,083.81 and 19,268.72

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Solution

The third proportional to 9,083.81 and 19,268.72 is: 40,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.81 : 19,268.72 = 19,268.72 : x
  2. Step 2: Convert to fraction form
    9,083.81/19,268.72 = 19,268.72/x
  3. Step 3: Cross multiply
    9,083.81x = 19,268.72 × 19,268.72
  4. Step 4: Simplify right side
    9,083.81x = 371,283,522.27
  5. Step 5: Solve for x
    x = 371,283,522.27/9,083.81
  6. Step 6: Final answer
    x = 40,873.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.