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Finding the Third Proportional to 11,873 and 25,649

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Solution

The third proportional to 11,873 and 25,649 is: 55,409.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873 : 25,649 = 25,649 : x
  2. Step 2: Convert to fraction form
    11,873/25,649 = 25,649/x
  3. Step 3: Cross multiply
    11,873x = 25,649 × 25,649
  4. Step 4: Simplify right side
    11,873x = 657,871,201
  5. Step 5: Solve for x
    x = 657,871,201/11,873
  6. Step 6: Final answer
    x = 55,409.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.