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Finding the Third Proportional to 5,040.75 and 10,658.50

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Solution

The third proportional to 5,040.75 and 10,658.50 is: 22,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,040.75 : 10,658.50 = 10,658.50 : x
  2. Step 2: Convert to fraction form
    5,040.75/10,658.50 = 10,658.50/x
  3. Step 3: Cross multiply
    5,040.75x = 10,658.50 × 10,658.50
  4. Step 4: Simplify right side
    5,040.75x = 113,603,622.25
  5. Step 5: Solve for x
    x = 113,603,622.25/5,040.75
  6. Step 6: Final answer
    x = 22,537.05

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.