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Finding the Third Proportional to 35,462.25 and 53,930.25

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Solution

The third proportional to 35,462.25 and 53,930.25 is: 82,016.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,462.25 : 53,930.25 = 53,930.25 : x
  2. Step 2: Convert to fraction form
    35,462.25/53,930.25 = 53,930.25/x
  3. Step 3: Cross multiply
    35,462.25x = 53,930.25 × 53,930.25
  4. Step 4: Simplify right side
    35,462.25x = 2,908,471,865.06
  5. Step 5: Solve for x
    x = 2,908,471,865.06/35,462.25
  6. Step 6: Final answer
    x = 82,016.00

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.