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Finding the Third Proportional to 36,208 and 56,598

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Solution

The third proportional to 36,208 and 56,598 is: 88,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,208 : 56,598 = 56,598 : x
  2. Step 2: Convert to fraction form
    36,208/56,598 = 56,598/x
  3. Step 3: Cross multiply
    36,208x = 56,598 × 56,598
  4. Step 4: Simplify right side
    36,208x = 3,203,333,604
  5. Step 5: Solve for x
    x = 3,203,333,604/36,208
  6. Step 6: Final answer
    x = 88,470.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.