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Finding the Third Proportional to 30,361.13 and 42,456.38

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Solution

The third proportional to 30,361.13 and 42,456.38 is: 59,370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,361.13 : 42,456.38 = 42,456.38 : x
  2. Step 2: Convert to fraction form
    30,361.13/42,456.38 = 42,456.38/x
  3. Step 3: Cross multiply
    30,361.13x = 42,456.38 × 42,456.38
  4. Step 4: Simplify right side
    30,361.13x = 1,802,543,778.14
  5. Step 5: Solve for x
    x = 1,802,543,778.14/30,361.13
  6. Step 6: Final answer
    x = 59,370.12

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.