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Finding the Third Proportional to 19,900 and 43,768

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Solution

The third proportional to 19,900 and 43,768 is: 96,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,900 : 43,768 = 43,768 : x
  2. Step 2: Convert to fraction form
    19,900/43,768 = 43,768/x
  3. Step 3: Cross multiply
    19,900x = 43,768 × 43,768
  4. Step 4: Simplify right side
    19,900x = 1,915,637,824
  5. Step 5: Solve for x
    x = 1,915,637,824/19,900
  6. Step 6: Final answer
    x = 96,263.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.