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Finding the Third Proportional to 4,642.31 and 6,861.09

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Solution

The third proportional to 4,642.31 and 6,861.09 is: 10,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.31 : 6,861.09 = 6,861.09 : x
  2. Step 2: Convert to fraction form
    4,642.31/6,861.09 = 6,861.09/x
  3. Step 3: Cross multiply
    4,642.31x = 6,861.09 × 6,861.09
  4. Step 4: Simplify right side
    4,642.31x = 47,074,607.45
  5. Step 5: Solve for x
    x = 47,074,607.45/4,642.31
  6. Step 6: Final answer
    x = 10,140.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.