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Finding the Third Proportional to 35,786.25 and 69,050.25

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Solution

The third proportional to 35,786.25 and 69,050.25 is: 133,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,786.25 : 69,050.25 = 69,050.25 : x
  2. Step 2: Convert to fraction form
    35,786.25/69,050.25 = 69,050.25/x
  3. Step 3: Cross multiply
    35,786.25x = 69,050.25 × 69,050.25
  4. Step 4: Simplify right side
    35,786.25x = 4,767,937,025.06
  5. Step 5: Solve for x
    x = 4,767,937,025.06/35,786.25
  6. Step 6: Final answer
    x = 133,233.77

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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.