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Finding the Third Proportional to 44,800 and 66,768

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Solution

The third proportional to 44,800 and 66,768 is: 99,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,800 : 66,768 = 66,768 : x
  2. Step 2: Convert to fraction form
    44,800/66,768 = 66,768/x
  3. Step 3: Cross multiply
    44,800x = 66,768 × 66,768
  4. Step 4: Simplify right side
    44,800x = 4,457,965,824
  5. Step 5: Solve for x
    x = 4,457,965,824/44,800
  6. Step 6: Final answer
    x = 99,508.17

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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.