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Finding the Third Proportional to 36,256.50 and 76,869

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Solution

The third proportional to 36,256.50 and 76,869 is: 162,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,256.50 : 76,869 = 76,869 : x
  2. Step 2: Convert to fraction form
    36,256.50/76,869 = 76,869/x
  3. Step 3: Cross multiply
    36,256.50x = 76,869 × 76,869
  4. Step 4: Simplify right side
    36,256.50x = 5,908,843,161
  5. Step 5: Solve for x
    x = 5,908,843,161/36,256.50
  6. Step 6: Final answer
    x = 162,973.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.