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Finding the Third Proportional to 29,400.75 and 43,408.13

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Solution

The third proportional to 29,400.75 and 43,408.13 is: 64,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,400.75 : 43,408.13 = 43,408.13 : x
  2. Step 2: Convert to fraction form
    29,400.75/43,408.13 = 43,408.13/x
  3. Step 3: Cross multiply
    29,400.75x = 43,408.13 × 43,408.13
  4. Step 4: Simplify right side
    29,400.75x = 1,884,265,316.02
  5. Step 5: Solve for x
    x = 1,884,265,316.02/29,400.75
  6. Step 6: Final answer
    x = 64,089.02

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.