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Finding the Third Proportional to 19,749 and 43,873

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Solution

The third proportional to 19,749 and 43,873 is: 97,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,749 : 43,873 = 43,873 : x
  2. Step 2: Convert to fraction form
    19,749/43,873 = 43,873/x
  3. Step 3: Cross multiply
    19,749x = 43,873 × 43,873
  4. Step 4: Simplify right side
    19,749x = 1,924,840,129
  5. Step 5: Solve for x
    x = 1,924,840,129/19,749
  6. Step 6: Final answer
    x = 97,465.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.