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Finding the Third Proportional to 9,083.81 and 19,603.69

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Solution

The third proportional to 9,083.81 and 19,603.69 is: 42,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.81 : 19,603.69 = 19,603.69 : x
  2. Step 2: Convert to fraction form
    9,083.81/19,603.69 = 19,603.69/x
  3. Step 3: Cross multiply
    9,083.81x = 19,603.69 × 19,603.69
  4. Step 4: Simplify right side
    9,083.81x = 384,304,563.60
  5. Step 5: Solve for x
    x = 384,304,563.60/9,083.81
  6. Step 6: Final answer
    x = 42,306.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.