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Finding the Third Proportional to 21,852 and 47,907

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Solution

The third proportional to 21,852 and 47,907 is: 105,028.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852 : 47,907 = 47,907 : x
  2. Step 2: Convert to fraction form
    21,852/47,907 = 47,907/x
  3. Step 3: Cross multiply
    21,852x = 47,907 × 47,907
  4. Step 4: Simplify right side
    21,852x = 2,295,080,649
  5. Step 5: Solve for x
    x = 2,295,080,649/21,852
  6. Step 6: Final answer
    x = 105,028.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.