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Finding the Third Proportional to 38,067.47 and 77,059.00

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Solution

The third proportional to 38,067.47 and 77,059.00 is: 155,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,067.47 : 77,059.00 = 77,059.00 : x
  2. Step 2: Convert to fraction form
    38,067.47/77,059.00 = 77,059.00/x
  3. Step 3: Cross multiply
    38,067.47x = 77,059.00 × 77,059.00
  4. Step 4: Simplify right side
    38,067.47x = 5,938,089,782.01
  5. Step 5: Solve for x
    x = 5,938,089,782.01/38,067.47
  6. Step 6: Final answer
    x = 155,988.56

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.