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Finding the Third Proportional to 12,210 and 16,087

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Solution

The third proportional to 12,210 and 16,087 is: 21,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210 : 16,087 = 16,087 : x
  2. Step 2: Convert to fraction form
    12,210/16,087 = 16,087/x
  3. Step 3: Cross multiply
    12,210x = 16,087 × 16,087
  4. Step 4: Simplify right side
    12,210x = 258,791,569
  5. Step 5: Solve for x
    x = 258,791,569/12,210
  6. Step 6: Final answer
    x = 21,195.05

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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.