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Finding the Third Proportional to 36,583 and 53,480

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Solution

The third proportional to 36,583 and 53,480 is: 78,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,583 : 53,480 = 53,480 : x
  2. Step 2: Convert to fraction form
    36,583/53,480 = 53,480/x
  3. Step 3: Cross multiply
    36,583x = 53,480 × 53,480
  4. Step 4: Simplify right side
    36,583x = 2,860,110,400
  5. Step 5: Solve for x
    x = 2,860,110,400/36,583
  6. Step 6: Final answer
    x = 78,181.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.