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Finding the Third Proportional to 13,819.50 and 29,445.75

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Solution

The third proportional to 13,819.50 and 29,445.75 is: 62,741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.50 : 29,445.75 = 29,445.75 : x
  2. Step 2: Convert to fraction form
    13,819.50/29,445.75 = 29,445.75/x
  3. Step 3: Cross multiply
    13,819.50x = 29,445.75 × 29,445.75
  4. Step 4: Simplify right side
    13,819.50x = 867,052,193.06
  5. Step 5: Solve for x
    x = 867,052,193.06/13,819.50
  6. Step 6: Final answer
    x = 62,741.21

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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.