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Finding the Third Proportional to 11,536 and 16,088

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Solution

The third proportional to 11,536 and 16,088 is: 22,436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536 : 16,088 = 16,088 : x
  2. Step 2: Convert to fraction form
    11,536/16,088 = 16,088/x
  3. Step 3: Cross multiply
    11,536x = 16,088 × 16,088
  4. Step 4: Simplify right side
    11,536x = 258,823,744
  5. Step 5: Solve for x
    x = 258,823,744/11,536
  6. Step 6: Final answer
    x = 22,436.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.