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Finding the Third Proportional to 6,670.69 and 7,604.72

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Solution

The third proportional to 6,670.69 and 7,604.72 is: 8,669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.69 : 7,604.72 = 7,604.72 : x
  2. Step 2: Convert to fraction form
    6,670.69/7,604.72 = 7,604.72/x
  3. Step 3: Cross multiply
    6,670.69x = 7,604.72 × 7,604.72
  4. Step 4: Simplify right side
    6,670.69x = 57,831,747.27
  5. Step 5: Solve for x
    x = 57,831,747.27/6,670.69
  6. Step 6: Final answer
    x = 8,669.53

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.