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Finding the Third Proportional to 3,509.44 and 7,717.50

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Solution

The third proportional to 3,509.44 and 7,717.50 is: 16,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.44 : 7,717.50 = 7,717.50 : x
  2. Step 2: Convert to fraction form
    3,509.44/7,717.50 = 7,717.50/x
  3. Step 3: Cross multiply
    3,509.44x = 7,717.50 × 7,717.50
  4. Step 4: Simplify right side
    3,509.44x = 59,559,806.25
  5. Step 5: Solve for x
    x = 59,559,806.25/3,509.44
  6. Step 6: Final answer
    x = 16,971.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.