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Finding the Third Proportional to 11,508.19 and 17,771.06

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Solution

The third proportional to 11,508.19 and 17,771.06 is: 27,442.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,508.19 : 17,771.06 = 17,771.06 : x
  2. Step 2: Convert to fraction form
    11,508.19/17,771.06 = 17,771.06/x
  3. Step 3: Cross multiply
    11,508.19x = 17,771.06 × 17,771.06
  4. Step 4: Simplify right side
    11,508.19x = 315,810,662.38
  5. Step 5: Solve for x
    x = 315,810,662.38/11,508.19
  6. Step 6: Final answer
    x = 27,442.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.