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Finding the Third Proportional to 44,976 and 67,224

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Solution

The third proportional to 44,976 and 67,224 is: 100,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,976 : 67,224 = 67,224 : x
  2. Step 2: Convert to fraction form
    44,976/67,224 = 67,224/x
  3. Step 3: Cross multiply
    44,976x = 67,224 × 67,224
  4. Step 4: Simplify right side
    44,976x = 4,519,066,176
  5. Step 5: Solve for x
    x = 4,519,066,176/44,976
  6. Step 6: Final answer
    x = 100,477.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.