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Finding the Third Proportional to 36,062 and 55,464

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Solution

The third proportional to 36,062 and 55,464 is: 85,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,062 : 55,464 = 55,464 : x
  2. Step 2: Convert to fraction form
    36,062/55,464 = 55,464/x
  3. Step 3: Cross multiply
    36,062x = 55,464 × 55,464
  4. Step 4: Simplify right side
    36,062x = 3,076,255,296
  5. Step 5: Solve for x
    x = 3,076,255,296/36,062
  6. Step 6: Final answer
    x = 85,304.62

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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.