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Finding the Third Proportional to 6,123.09 and 13,047.33

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Solution

The third proportional to 6,123.09 and 13,047.33 is: 27,801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.09 : 13,047.33 = 13,047.33 : x
  2. Step 2: Convert to fraction form
    6,123.09/13,047.33 = 13,047.33/x
  3. Step 3: Cross multiply
    6,123.09x = 13,047.33 × 13,047.33
  4. Step 4: Simplify right side
    6,123.09x = 170,232,771.20
  5. Step 5: Solve for x
    x = 170,232,771.20/6,123.09
  6. Step 6: Final answer
    x = 27,801.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.