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Finding the Third Proportional to 35,739.75 and 76,387.75

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Solution

The third proportional to 35,739.75 and 76,387.75 is: 163,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,739.75 : 76,387.75 = 76,387.75 : x
  2. Step 2: Convert to fraction form
    35,739.75/76,387.75 = 76,387.75/x
  3. Step 3: Cross multiply
    35,739.75x = 76,387.75 × 76,387.75
  4. Step 4: Simplify right side
    35,739.75x = 5,835,088,350.06
  5. Step 5: Solve for x
    x = 5,835,088,350.06/35,739.75
  6. Step 6: Final answer
    x = 163,266.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.