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Finding the Third Proportional to 36,213 and 75,733

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Solution

The third proportional to 36,213 and 75,733 is: 158,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,213 : 75,733 = 75,733 : x
  2. Step 2: Convert to fraction form
    36,213/75,733 = 75,733/x
  3. Step 3: Cross multiply
    36,213x = 75,733 × 75,733
  4. Step 4: Simplify right side
    36,213x = 5,735,487,289
  5. Step 5: Solve for x
    x = 5,735,487,289/36,213
  6. Step 6: Final answer
    x = 158,382.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.