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Finding the Third Proportional to 36,456 and 56,203

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Solution

The third proportional to 36,456 and 56,203 is: 86,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,456 : 56,203 = 56,203 : x
  2. Step 2: Convert to fraction form
    36,456/56,203 = 56,203/x
  3. Step 3: Cross multiply
    36,456x = 56,203 × 56,203
  4. Step 4: Simplify right side
    36,456x = 3,158,777,209
  5. Step 5: Solve for x
    x = 3,158,777,209/36,456
  6. Step 6: Final answer
    x = 86,646.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.