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Finding the Third Proportional to 6,738.19 and 15,898.78

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Solution

The third proportional to 6,738.19 and 15,898.78 is: 37,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.19 : 15,898.78 = 15,898.78 : x
  2. Step 2: Convert to fraction form
    6,738.19/15,898.78 = 15,898.78/x
  3. Step 3: Cross multiply
    6,738.19x = 15,898.78 × 15,898.78
  4. Step 4: Simplify right side
    6,738.19x = 252,771,245.24
  5. Step 5: Solve for x
    x = 252,771,245.24/6,738.19
  6. Step 6: Final answer
    x = 37,513.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.