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Finding the Third Proportional to 39,030.38 and 80,829.75

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Solution

The third proportional to 39,030.38 and 80,829.75 is: 167,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,030.38 : 80,829.75 = 80,829.75 : x
  2. Step 2: Convert to fraction form
    39,030.38/80,829.75 = 80,829.75/x
  3. Step 3: Cross multiply
    39,030.38x = 80,829.75 × 80,829.75
  4. Step 4: Simplify right side
    39,030.38x = 6,533,448,485.06
  5. Step 5: Solve for x
    x = 6,533,448,485.06/39,030.38
  6. Step 6: Final answer
    x = 167,393.95

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.