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Finding the Third Proportional to 36,815.63 and 76,362.75

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Solution

The third proportional to 36,815.63 and 76,362.75 is: 158,391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,815.63 : 76,362.75 = 76,362.75 : x
  2. Step 2: Convert to fraction form
    36,815.63/76,362.75 = 76,362.75/x
  3. Step 3: Cross multiply
    36,815.63x = 76,362.75 × 76,362.75
  4. Step 4: Simplify right side
    36,815.63x = 5,831,269,587.56
  5. Step 5: Solve for x
    x = 5,831,269,587.56/36,815.63
  6. Step 6: Final answer
    x = 158,391.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.