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Finding the Third Proportional to 30,072.38 and 65,782.13

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Solution

The third proportional to 30,072.38 and 65,782.13 is: 143,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,072.38 : 65,782.13 = 65,782.13 : x
  2. Step 2: Convert to fraction form
    30,072.38/65,782.13 = 65,782.13/x
  3. Step 3: Cross multiply
    30,072.38x = 65,782.13 × 65,782.13
  4. Step 4: Simplify right side
    30,072.38x = 4,327,287,969.52
  5. Step 5: Solve for x
    x = 4,327,287,969.52/30,072.38
  6. Step 6: Final answer
    x = 143,895.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.