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Finding the Third Proportional to 10,540 and 16,088

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Solution

The third proportional to 10,540 and 16,088 is: 24,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540 : 16,088 = 16,088 : x
  2. Step 2: Convert to fraction form
    10,540/16,088 = 16,088/x
  3. Step 3: Cross multiply
    10,540x = 16,088 × 16,088
  4. Step 4: Simplify right side
    10,540x = 258,823,744
  5. Step 5: Solve for x
    x = 258,823,744/10,540
  6. Step 6: Final answer
    x = 24,556.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.