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Finding the Third Proportional to 35,659.75 and 55,534.25

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Solution

The third proportional to 35,659.75 and 55,534.25 is: 86,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,659.75 : 55,534.25 = 55,534.25 : x
  2. Step 2: Convert to fraction form
    35,659.75/55,534.25 = 55,534.25/x
  3. Step 3: Cross multiply
    35,659.75x = 55,534.25 × 55,534.25
  4. Step 4: Simplify right side
    35,659.75x = 3,084,052,923.06
  5. Step 5: Solve for x
    x = 3,084,052,923.06/35,659.75
  6. Step 6: Final answer
    x = 86,485.55

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.