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Finding the Third Proportional to 7,313.85 and 16,040.49

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Solution

The third proportional to 7,313.85 and 16,040.49 is: 35,179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.85 : 16,040.49 = 16,040.49 : x
  2. Step 2: Convert to fraction form
    7,313.85/16,040.49 = 16,040.49/x
  3. Step 3: Cross multiply
    7,313.85x = 16,040.49 × 16,040.49
  4. Step 4: Simplify right side
    7,313.85x = 257,297,373.95
  5. Step 5: Solve for x
    x = 257,297,373.95/7,313.85
  6. Step 6: Final answer
    x = 35,179.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.