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Finding the Third Proportional to 30,782.25 and 66,485.25

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Solution

The third proportional to 30,782.25 and 66,485.25 is: 143,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.25 : 66,485.25 = 66,485.25 : x
  2. Step 2: Convert to fraction form
    30,782.25/66,485.25 = 66,485.25/x
  3. Step 3: Cross multiply
    30,782.25x = 66,485.25 × 66,485.25
  4. Step 4: Simplify right side
    30,782.25x = 4,420,288,467.56
  5. Step 5: Solve for x
    x = 4,420,288,467.56/30,782.25
  6. Step 6: Final answer
    x = 143,598.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.