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Finding the Third Proportional to 35,662.50 and 55,443.75

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Solution

The third proportional to 35,662.50 and 55,443.75 is: 86,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,662.50 : 55,443.75 = 55,443.75 : x
  2. Step 2: Convert to fraction form
    35,662.50/55,443.75 = 55,443.75/x
  3. Step 3: Cross multiply
    35,662.50x = 55,443.75 × 55,443.75
  4. Step 4: Simplify right side
    35,662.50x = 3,074,009,414.06
  5. Step 5: Solve for x
    x = 3,074,009,414.06/35,662.50
  6. Step 6: Final answer
    x = 86,197.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.