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Finding the Third Proportional to 5,280.75 and 7,066.69

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Solution

The third proportional to 5,280.75 and 7,066.69 is: 9,456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.75 : 7,066.69 = 7,066.69 : x
  2. Step 2: Convert to fraction form
    5,280.75/7,066.69 = 7,066.69/x
  3. Step 3: Cross multiply
    5,280.75x = 7,066.69 × 7,066.69
  4. Step 4: Simplify right side
    5,280.75x = 49,938,072.22
  5. Step 5: Solve for x
    x = 49,938,072.22/5,280.75
  6. Step 6: Final answer
    x = 9,456.62

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.