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Finding the Third Proportional to 11,129.35 and 17,261.07

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Solution

The third proportional to 11,129.35 and 17,261.07 is: 26,771.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129.35 : 17,261.07 = 17,261.07 : x
  2. Step 2: Convert to fraction form
    11,129.35/17,261.07 = 17,261.07/x
  3. Step 3: Cross multiply
    11,129.35x = 17,261.07 × 17,261.07
  4. Step 4: Simplify right side
    11,129.35x = 297,944,480.91
  5. Step 5: Solve for x
    x = 297,944,480.91/11,129.35
  6. Step 6: Final answer
    x = 26,771.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.