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Finding the Third Proportional to 12,425.25 and 26,604.75

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Solution

The third proportional to 12,425.25 and 26,604.75 is: 56,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,425.25 : 26,604.75 = 26,604.75 : x
  2. Step 2: Convert to fraction form
    12,425.25/26,604.75 = 26,604.75/x
  3. Step 3: Cross multiply
    12,425.25x = 26,604.75 × 26,604.75
  4. Step 4: Simplify right side
    12,425.25x = 707,812,722.56
  5. Step 5: Solve for x
    x = 707,812,722.56/12,425.25
  6. Step 6: Final answer
    x = 56,965.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.