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Finding the Third Proportional to 36,875 and 86,612

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Solution

The third proportional to 36,875 and 86,612 is: 203,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,875 : 86,612 = 86,612 : x
  2. Step 2: Convert to fraction form
    36,875/86,612 = 86,612/x
  3. Step 3: Cross multiply
    36,875x = 86,612 × 86,612
  4. Step 4: Simplify right side
    36,875x = 7,501,638,544
  5. Step 5: Solve for x
    x = 7,501,638,544/36,875
  6. Step 6: Final answer
    x = 203,434.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.