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Finding the Third Proportional to 938.46 and 2,014.67

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Solution

The third proportional to 938.46 and 2,014.67 is: 4,325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.46 : 2,014.67 = 2,014.67 : x
  2. Step 2: Convert to fraction form
    938.46/2,014.67 = 2,014.67/x
  3. Step 3: Cross multiply
    938.46x = 2,014.67 × 2,014.67
  4. Step 4: Simplify right side
    938.46x = 4,058,904.49
  5. Step 5: Solve for x
    x = 4,058,904.49/938.46
  6. Step 6: Final answer
    x = 4,325.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.