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Finding the Third Proportional to 10,400 and 11,712

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Solution

The third proportional to 10,400 and 11,712 is: 13,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400 : 11,712 = 11,712 : x
  2. Step 2: Convert to fraction form
    10,400/11,712 = 11,712/x
  3. Step 3: Cross multiply
    10,400x = 11,712 × 11,712
  4. Step 4: Simplify right side
    10,400x = 137,170,944
  5. Step 5: Solve for x
    x = 137,170,944/10,400
  6. Step 6: Final answer
    x = 13,189.51

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.