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Finding the Third Proportional to 4,376.14 and 8,931.67

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Solution

The third proportional to 4,376.14 and 8,931.67 is: 18,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376.14 : 8,931.67 = 8,931.67 : x
  2. Step 2: Convert to fraction form
    4,376.14/8,931.67 = 8,931.67/x
  3. Step 3: Cross multiply
    4,376.14x = 8,931.67 × 8,931.67
  4. Step 4: Simplify right side
    4,376.14x = 79,774,797.37
  5. Step 5: Solve for x
    x = 79,774,797.37/4,376.14
  6. Step 6: Final answer
    x = 18,229.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.