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Finding the Third Proportional to 12,581.63 and 25,709.63

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Solution

The third proportional to 12,581.63 and 25,709.63 is: 52,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581.63 : 25,709.63 = 25,709.63 : x
  2. Step 2: Convert to fraction form
    12,581.63/25,709.63 = 25,709.63/x
  3. Step 3: Cross multiply
    12,581.63x = 25,709.63 × 25,709.63
  4. Step 4: Simplify right side
    12,581.63x = 660,984,817.64
  5. Step 5: Solve for x
    x = 660,984,817.64/12,581.63
  6. Step 6: Final answer
    x = 52,535.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.