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Finding the Third Proportional to 6,670.50 and 18,147.75

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Solution

The third proportional to 6,670.50 and 18,147.75 is: 49,372.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.50 : 18,147.75 = 18,147.75 : x
  2. Step 2: Convert to fraction form
    6,670.50/18,147.75 = 18,147.75/x
  3. Step 3: Cross multiply
    6,670.50x = 18,147.75 × 18,147.75
  4. Step 4: Simplify right side
    6,670.50x = 329,340,830.06
  5. Step 5: Solve for x
    x = 329,340,830.06/6,670.50
  6. Step 6: Final answer
    x = 49,372.74

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.