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Finding the Third Proportional to 12,171 and 16,006.50

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Solution

The third proportional to 12,171 and 16,006.50 is: 21,050.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171 : 16,006.50 = 16,006.50 : x
  2. Step 2: Convert to fraction form
    12,171/16,006.50 = 16,006.50/x
  3. Step 3: Cross multiply
    12,171x = 16,006.50 × 16,006.50
  4. Step 4: Simplify right side
    12,171x = 256,208,042.25
  5. Step 5: Solve for x
    x = 256,208,042.25/12,171
  6. Step 6: Final answer
    x = 21,050.70

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.