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Finding the Third Proportional to 6,501.38 and 15,168.38

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Solution

The third proportional to 6,501.38 and 15,168.38 is: 35,389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.38 : 15,168.38 = 15,168.38 : x
  2. Step 2: Convert to fraction form
    6,501.38/15,168.38 = 15,168.38/x
  3. Step 3: Cross multiply
    6,501.38x = 15,168.38 × 15,168.38
  4. Step 4: Simplify right side
    6,501.38x = 230,079,600.14
  5. Step 5: Solve for x
    x = 230,079,600.14/6,501.38
  6. Step 6: Final answer
    x = 35,389.38

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.