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Finding the Third Proportional to 27,752 and 44,388

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Solution

The third proportional to 27,752 and 44,388 is: 70,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,752 : 44,388 = 44,388 : x
  2. Step 2: Convert to fraction form
    27,752/44,388 = 44,388/x
  3. Step 3: Cross multiply
    27,752x = 44,388 × 44,388
  4. Step 4: Simplify right side
    27,752x = 1,970,294,544
  5. Step 5: Solve for x
    x = 1,970,294,544/27,752
  6. Step 6: Final answer
    x = 70,996.49

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.