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Finding the Third Proportional to 39,538.13 and 55,783.69

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Solution

The third proportional to 39,538.13 and 55,783.69 is: 78,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,538.13 : 55,783.69 = 55,783.69 : x
  2. Step 2: Convert to fraction form
    39,538.13/55,783.69 = 55,783.69/x
  3. Step 3: Cross multiply
    39,538.13x = 55,783.69 × 55,783.69
  4. Step 4: Simplify right side
    39,538.13x = 3,111,819,791.10
  5. Step 5: Solve for x
    x = 3,111,819,791.10/39,538.13
  6. Step 6: Final answer
    x = 78,704.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.