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Finding the Third Proportional to 7,293.38 and 11,006.72

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Solution

The third proportional to 7,293.38 and 11,006.72 is: 16,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.38 : 11,006.72 = 11,006.72 : x
  2. Step 2: Convert to fraction form
    7,293.38/11,006.72 = 11,006.72/x
  3. Step 3: Cross multiply
    7,293.38x = 11,006.72 × 11,006.72
  4. Step 4: Simplify right side
    7,293.38x = 121,147,857.64
  5. Step 5: Solve for x
    x = 121,147,857.64/7,293.38
  6. Step 6: Final answer
    x = 16,610.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.