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Finding the Third Proportional to 13,123.13 and 17,679.94

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Solution

The third proportional to 13,123.13 and 17,679.94 is: 23,819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.13 : 17,679.94 = 17,679.94 : x
  2. Step 2: Convert to fraction form
    13,123.13/17,679.94 = 17,679.94/x
  3. Step 3: Cross multiply
    13,123.13x = 17,679.94 × 17,679.94
  4. Step 4: Simplify right side
    13,123.13x = 312,580,190.00
  5. Step 5: Solve for x
    x = 312,580,190.00/13,123.13
  6. Step 6: Final answer
    x = 23,819.04

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.