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Finding the Third Proportional to 44,904 and 69,228

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Solution

The third proportional to 44,904 and 69,228 is: 106,728.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,904 : 69,228 = 69,228 : x
  2. Step 2: Convert to fraction form
    44,904/69,228 = 69,228/x
  3. Step 3: Cross multiply
    44,904x = 69,228 × 69,228
  4. Step 4: Simplify right side
    44,904x = 4,792,515,984
  5. Step 5: Solve for x
    x = 4,792,515,984/44,904
  6. Step 6: Final answer
    x = 106,728.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.