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Finding the Third Proportional to 36,475 and 79,341

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Solution

The third proportional to 36,475 and 79,341 is: 172,583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,475 : 79,341 = 79,341 : x
  2. Step 2: Convert to fraction form
    36,475/79,341 = 79,341/x
  3. Step 3: Cross multiply
    36,475x = 79,341 × 79,341
  4. Step 4: Simplify right side
    36,475x = 6,294,994,281
  5. Step 5: Solve for x
    x = 6,294,994,281/36,475
  6. Step 6: Final answer
    x = 172,583.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.