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Finding the Third Proportional to 7,669.13 and 11,541.38

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Solution

The third proportional to 7,669.13 and 11,541.38 is: 17,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.13 : 11,541.38 = 11,541.38 : x
  2. Step 2: Convert to fraction form
    7,669.13/11,541.38 = 11,541.38/x
  3. Step 3: Cross multiply
    7,669.13x = 11,541.38 × 11,541.38
  4. Step 4: Simplify right side
    7,669.13x = 133,203,336.89
  5. Step 5: Solve for x
    x = 133,203,336.89/7,669.13
  6. Step 6: Final answer
    x = 17,368.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.