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Finding the Third Proportional to 5,583.38 and 7,603.31

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Solution

The third proportional to 5,583.38 and 7,603.31 is: 10,354.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,583.38 : 7,603.31 = 7,603.31 : x
  2. Step 2: Convert to fraction form
    5,583.38/7,603.31 = 7,603.31/x
  3. Step 3: Cross multiply
    5,583.38x = 7,603.31 × 7,603.31
  4. Step 4: Simplify right side
    5,583.38x = 57,810,360.97
  5. Step 5: Solve for x
    x = 57,810,360.97/5,583.38
  6. Step 6: Final answer
    x = 10,354.02

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.