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Finding the Third Proportional to 7,825.50 and 11,741.63

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Solution

The third proportional to 7,825.50 and 11,741.63 is: 17,617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.50 : 11,741.63 = 11,741.63 : x
  2. Step 2: Convert to fraction form
    7,825.50/11,741.63 = 11,741.63/x
  3. Step 3: Cross multiply
    7,825.50x = 11,741.63 × 11,741.63
  4. Step 4: Simplify right side
    7,825.50x = 137,865,757.64
  5. Step 5: Solve for x
    x = 137,865,757.64/7,825.50
  6. Step 6: Final answer
    x = 17,617.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.