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Finding the Third Proportional to 35,958.94 and 54,437.06

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Solution

The third proportional to 35,958.94 and 54,437.06 is: 82,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,958.94 : 54,437.06 = 54,437.06 : x
  2. Step 2: Convert to fraction form
    35,958.94/54,437.06 = 54,437.06/x
  3. Step 3: Cross multiply
    35,958.94x = 54,437.06 × 54,437.06
  4. Step 4: Simplify right side
    35,958.94x = 2,963,393,773.63
  5. Step 5: Solve for x
    x = 2,963,393,773.63/35,958.94
  6. Step 6: Final answer
    x = 82,410.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.