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Finding the Third Proportional to 27,770 and 44,168

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Solution

The third proportional to 27,770 and 44,168 is: 70,248.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770 : 44,168 = 44,168 : x
  2. Step 2: Convert to fraction form
    27,770/44,168 = 44,168/x
  3. Step 3: Cross multiply
    27,770x = 44,168 × 44,168
  4. Step 4: Simplify right side
    27,770x = 1,950,812,224
  5. Step 5: Solve for x
    x = 1,950,812,224/27,770
  6. Step 6: Final answer
    x = 70,248.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.