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Finding the Third Proportional to 35,295.75 and 53,022.75

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Solution

The third proportional to 35,295.75 and 53,022.75 is: 79,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,295.75 : 53,022.75 = 53,022.75 : x
  2. Step 2: Convert to fraction form
    35,295.75/53,022.75 = 53,022.75/x
  3. Step 3: Cross multiply
    35,295.75x = 53,022.75 × 53,022.75
  4. Step 4: Simplify right side
    35,295.75x = 2,811,412,017.56
  5. Step 5: Solve for x
    x = 2,811,412,017.56/35,295.75
  6. Step 6: Final answer
    x = 79,652.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.