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Finding the Third Proportional to 6,619.50 and 14,253

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Solution

The third proportional to 6,619.50 and 14,253 is: 30,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,619.50 : 14,253 = 14,253 : x
  2. Step 2: Convert to fraction form
    6,619.50/14,253 = 14,253/x
  3. Step 3: Cross multiply
    6,619.50x = 14,253 × 14,253
  4. Step 4: Simplify right side
    6,619.50x = 203,148,009
  5. Step 5: Solve for x
    x = 203,148,009/6,619.50
  6. Step 6: Final answer
    x = 30,689.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.