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Finding the Third Proportional to 2,004.50 and 4,169

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Solution

The third proportional to 2,004.50 and 4,169 is: 8,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.50 : 4,169 = 4,169 : x
  2. Step 2: Convert to fraction form
    2,004.50/4,169 = 4,169/x
  3. Step 3: Cross multiply
    2,004.50x = 4,169 × 4,169
  4. Step 4: Simplify right side
    2,004.50x = 17,380,561
  5. Step 5: Solve for x
    x = 17,380,561/2,004.50
  6. Step 6: Final answer
    x = 8,670.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.