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Finding the Third Proportional to 37,616.25 and 80,973

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Solution

The third proportional to 37,616.25 and 80,973 is: 174,303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,616.25 : 80,973 = 80,973 : x
  2. Step 2: Convert to fraction form
    37,616.25/80,973 = 80,973/x
  3. Step 3: Cross multiply
    37,616.25x = 80,973 × 80,973
  4. Step 4: Simplify right side
    37,616.25x = 6,556,626,729
  5. Step 5: Solve for x
    x = 6,556,626,729/37,616.25
  6. Step 6: Final answer
    x = 174,303.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.