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Finding the Third Proportional to 39,830.06 and 84,273.33

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Solution

The third proportional to 39,830.06 and 84,273.33 is: 178,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,830.06 : 84,273.33 = 84,273.33 : x
  2. Step 2: Convert to fraction form
    39,830.06/84,273.33 = 84,273.33/x
  3. Step 3: Cross multiply
    39,830.06x = 84,273.33 × 84,273.33
  4. Step 4: Simplify right side
    39,830.06x = 7,101,993,833.26
  5. Step 5: Solve for x
    x = 7,101,993,833.26/39,830.06
  6. Step 6: Final answer
    x = 178,307.37

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.