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Finding the Third Proportional to 12,152 and 16,212

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Solution

The third proportional to 12,152 and 16,212 is: 21,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152 : 16,212 = 16,212 : x
  2. Step 2: Convert to fraction form
    12,152/16,212 = 16,212/x
  3. Step 3: Cross multiply
    12,152x = 16,212 × 16,212
  4. Step 4: Simplify right side
    12,152x = 262,828,944
  5. Step 5: Solve for x
    x = 262,828,944/12,152
  6. Step 6: Final answer
    x = 21,628.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.