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Finding the Third Proportional to 36,532 and 55,008

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Solution

The third proportional to 36,532 and 55,008 is: 82,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,532 : 55,008 = 55,008 : x
  2. Step 2: Convert to fraction form
    36,532/55,008 = 55,008/x
  3. Step 3: Cross multiply
    36,532x = 55,008 × 55,008
  4. Step 4: Simplify right side
    36,532x = 3,025,880,064
  5. Step 5: Solve for x
    x = 3,025,880,064/36,532
  6. Step 6: Final answer
    x = 82,828.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.