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Finding the Third Proportional to 7,745.50 and 16,970

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Solution

The third proportional to 7,745.50 and 16,970 is: 37,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.50 : 16,970 = 16,970 : x
  2. Step 2: Convert to fraction form
    7,745.50/16,970 = 16,970/x
  3. Step 3: Cross multiply
    7,745.50x = 16,970 × 16,970
  4. Step 4: Simplify right side
    7,745.50x = 287,980,900
  5. Step 5: Solve for x
    x = 287,980,900/7,745.50
  6. Step 6: Final answer
    x = 37,180.41

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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.