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Finding the Third Proportional to 12,216 and 18,496.50

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Solution

The third proportional to 12,216 and 18,496.50 is: 28,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216 : 18,496.50 = 18,496.50 : x
  2. Step 2: Convert to fraction form
    12,216/18,496.50 = 18,496.50/x
  3. Step 3: Cross multiply
    12,216x = 18,496.50 × 18,496.50
  4. Step 4: Simplify right side
    12,216x = 342,120,512.25
  5. Step 5: Solve for x
    x = 342,120,512.25/12,216
  6. Step 6: Final answer
    x = 28,005.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.