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Finding the Third Proportional to 4,176.56 and 6,262.31

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Solution

The third proportional to 4,176.56 and 6,262.31 is: 9,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.56 : 6,262.31 = 6,262.31 : x
  2. Step 2: Convert to fraction form
    4,176.56/6,262.31 = 6,262.31/x
  3. Step 3: Cross multiply
    4,176.56x = 6,262.31 × 6,262.31
  4. Step 4: Simplify right side
    4,176.56x = 39,216,557.85
  5. Step 5: Solve for x
    x = 39,216,557.85/4,176.56
  6. Step 6: Final answer
    x = 9,389.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.