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Finding the Third Proportional to 2,313.45 and 3,725.67

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Solution

The third proportional to 2,313.45 and 3,725.67 is: 5,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.45 : 3,725.67 = 3,725.67 : x
  2. Step 2: Convert to fraction form
    2,313.45/3,725.67 = 3,725.67/x
  3. Step 3: Cross multiply
    2,313.45x = 3,725.67 × 3,725.67
  4. Step 4: Simplify right side
    2,313.45x = 13,880,607.73
  5. Step 5: Solve for x
    x = 13,880,607.73/2,313.45
  6. Step 6: Final answer
    x = 5,999.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.