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Finding the Third Proportional to 3,647.53 and 7,975.97

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Solution

The third proportional to 3,647.53 and 7,975.97 is: 17,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.53 : 7,975.97 = 7,975.97 : x
  2. Step 2: Convert to fraction form
    3,647.53/7,975.97 = 7,975.97/x
  3. Step 3: Cross multiply
    3,647.53x = 7,975.97 × 7,975.97
  4. Step 4: Simplify right side
    3,647.53x = 63,616,077.50
  5. Step 5: Solve for x
    x = 63,616,077.50/3,647.53
  6. Step 6: Final answer
    x = 17,440.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.