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Finding the Third Proportional to 38,959.31 and 59,259.09

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Solution

The third proportional to 38,959.31 and 59,259.09 is: 90,136.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,959.31 : 59,259.09 = 59,259.09 : x
  2. Step 2: Convert to fraction form
    38,959.31/59,259.09 = 59,259.09/x
  3. Step 3: Cross multiply
    38,959.31x = 59,259.09 × 59,259.09
  4. Step 4: Simplify right side
    38,959.31x = 3,511,640,192.07
  5. Step 5: Solve for x
    x = 3,511,640,192.07/38,959.31
  6. Step 6: Final answer
    x = 90,136.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.