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Finding the Third Proportional to 8,004.63 and 12,861.25

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Solution

The third proportional to 8,004.63 and 12,861.25 is: 20,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.63 : 12,861.25 = 12,861.25 : x
  2. Step 2: Convert to fraction form
    8,004.63/12,861.25 = 12,861.25/x
  3. Step 3: Cross multiply
    8,004.63x = 12,861.25 × 12,861.25
  4. Step 4: Simplify right side
    8,004.63x = 165,411,751.56
  5. Step 5: Solve for x
    x = 165,411,751.56/8,004.63
  6. Step 6: Final answer
    x = 20,664.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.