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Finding the Third Proportional to 19,852 and 41,749

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Solution

The third proportional to 19,852 and 41,749 is: 87,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852 : 41,749 = 41,749 : x
  2. Step 2: Convert to fraction form
    19,852/41,749 = 41,749/x
  3. Step 3: Cross multiply
    19,852x = 41,749 × 41,749
  4. Step 4: Simplify right side
    19,852x = 1,742,979,001
  5. Step 5: Solve for x
    x = 1,742,979,001/19,852
  6. Step 6: Final answer
    x = 87,798.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.