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Finding the Third Proportional to 30,005.44 and 69,462.56

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Solution

The third proportional to 30,005.44 and 69,462.56 is: 160,805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.44 : 69,462.56 = 69,462.56 : x
  2. Step 2: Convert to fraction form
    30,005.44/69,462.56 = 69,462.56/x
  3. Step 3: Cross multiply
    30,005.44x = 69,462.56 × 69,462.56
  4. Step 4: Simplify right side
    30,005.44x = 4,825,047,589.07
  5. Step 5: Solve for x
    x = 4,825,047,589.07/30,005.44
  6. Step 6: Final answer
    x = 160,805.77

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.