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Finding the Third Proportional to 39,020.63 and 83,959.31

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Solution

The third proportional to 39,020.63 and 83,959.31 is: 180,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,020.63 : 83,959.31 = 83,959.31 : x
  2. Step 2: Convert to fraction form
    39,020.63/83,959.31 = 83,959.31/x
  3. Step 3: Cross multiply
    39,020.63x = 83,959.31 × 83,959.31
  4. Step 4: Simplify right side
    39,020.63x = 7,049,166,155.47
  5. Step 5: Solve for x
    x = 7,049,166,155.47/39,020.63
  6. Step 6: Final answer
    x = 180,652.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.