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Finding the Third Proportional to 43,298 and 57,819

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Solution

The third proportional to 43,298 and 57,819 is: 77,209.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,298 : 57,819 = 57,819 : x
  2. Step 2: Convert to fraction form
    43,298/57,819 = 57,819/x
  3. Step 3: Cross multiply
    43,298x = 57,819 × 57,819
  4. Step 4: Simplify right side
    43,298x = 3,343,036,761
  5. Step 5: Solve for x
    x = 3,343,036,761/43,298
  6. Step 6: Final answer
    x = 77,209.96

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.