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Finding the Third Proportional to 19,739 and 43,852

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Solution

The third proportional to 19,739 and 43,852 is: 97,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,739 : 43,852 = 43,852 : x
  2. Step 2: Convert to fraction form
    19,739/43,852 = 43,852/x
  3. Step 3: Cross multiply
    19,739x = 43,852 × 43,852
  4. Step 4: Simplify right side
    19,739x = 1,922,997,904
  5. Step 5: Solve for x
    x = 1,922,997,904/19,739
  6. Step 6: Final answer
    x = 97,421.24

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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.