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Finding the Third Proportional to 29,819.81 and 43,835.34

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Solution

The third proportional to 29,819.81 and 43,835.34 is: 64,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,819.81 : 43,835.34 = 43,835.34 : x
  2. Step 2: Convert to fraction form
    29,819.81/43,835.34 = 43,835.34/x
  3. Step 3: Cross multiply
    29,819.81x = 43,835.34 × 43,835.34
  4. Step 4: Simplify right side
    29,819.81x = 1,921,537,361.68
  5. Step 5: Solve for x
    x = 1,921,537,361.68/29,819.81
  6. Step 6: Final answer
    x = 64,438.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.