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Finding the Third Proportional to 7,391 and 11,057.38

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Solution

The third proportional to 7,391 and 11,057.38 is: 16,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391 : 11,057.38 = 11,057.38 : x
  2. Step 2: Convert to fraction form
    7,391/11,057.38 = 11,057.38/x
  3. Step 3: Cross multiply
    7,391x = 11,057.38 × 11,057.38
  4. Step 4: Simplify right side
    7,391x = 122,265,541.89
  5. Step 5: Solve for x
    x = 122,265,541.89/7,391
  6. Step 6: Final answer
    x = 16,542.49

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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.