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Finding the Third Proportional to 6,740 and 14,625.50

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Solution

The third proportional to 6,740 and 14,625.50 is: 31,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740 : 14,625.50 = 14,625.50 : x
  2. Step 2: Convert to fraction form
    6,740/14,625.50 = 14,625.50/x
  3. Step 3: Cross multiply
    6,740x = 14,625.50 × 14,625.50
  4. Step 4: Simplify right side
    6,740x = 213,905,250.25
  5. Step 5: Solve for x
    x = 213,905,250.25/6,740
  6. Step 6: Final answer
    x = 31,736.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.