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Finding the Third Proportional to 9,306.14 and 20,093.06

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Solution

The third proportional to 9,306.14 and 20,093.06 is: 43,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.14 : 20,093.06 = 20,093.06 : x
  2. Step 2: Convert to fraction form
    9,306.14/20,093.06 = 20,093.06/x
  3. Step 3: Cross multiply
    9,306.14x = 20,093.06 × 20,093.06
  4. Step 4: Simplify right side
    9,306.14x = 403,731,160.63
  5. Step 5: Solve for x
    x = 403,731,160.63/9,306.14
  6. Step 6: Final answer
    x = 43,383.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.