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Finding the Third Proportional to 36,486 and 55,464

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Solution

The third proportional to 36,486 and 55,464 is: 84,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,486 : 55,464 = 55,464 : x
  2. Step 2: Convert to fraction form
    36,486/55,464 = 55,464/x
  3. Step 3: Cross multiply
    36,486x = 55,464 × 55,464
  4. Step 4: Simplify right side
    36,486x = 3,076,255,296
  5. Step 5: Solve for x
    x = 3,076,255,296/36,486
  6. Step 6: Final answer
    x = 84,313.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.