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Finding the Third Proportional to 13,408.31 and 29,123.06

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Solution

The third proportional to 13,408.31 and 29,123.06 is: 63,255.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.31 : 29,123.06 = 29,123.06 : x
  2. Step 2: Convert to fraction form
    13,408.31/29,123.06 = 29,123.06/x
  3. Step 3: Cross multiply
    13,408.31x = 29,123.06 × 29,123.06
  4. Step 4: Simplify right side
    13,408.31x = 848,152,769.38
  5. Step 5: Solve for x
    x = 848,152,769.38/13,408.31
  6. Step 6: Final answer
    x = 63,255.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.