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Finding the Third Proportional to 6,504.89 and 7,188.33

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Solution

The third proportional to 6,504.89 and 7,188.33 is: 7,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.89 : 7,188.33 = 7,188.33 : x
  2. Step 2: Convert to fraction form
    6,504.89/7,188.33 = 7,188.33/x
  3. Step 3: Cross multiply
    6,504.89x = 7,188.33 × 7,188.33
  4. Step 4: Simplify right side
    6,504.89x = 51,672,061.23
  5. Step 5: Solve for x
    x = 51,672,061.23/6,504.89
  6. Step 6: Final answer
    x = 7,943.57

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.