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Finding the Third Proportional to 3,958.03 and 6,176.67

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Solution

The third proportional to 3,958.03 and 6,176.67 is: 9,638.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.03 : 6,176.67 = 6,176.67 : x
  2. Step 2: Convert to fraction form
    3,958.03/6,176.67 = 6,176.67/x
  3. Step 3: Cross multiply
    3,958.03x = 6,176.67 × 6,176.67
  4. Step 4: Simplify right side
    3,958.03x = 38,151,275.45
  5. Step 5: Solve for x
    x = 38,151,275.45/3,958.03
  6. Step 6: Final answer
    x = 9,638.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.