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Finding the Third Proportional to 24,896 and 52,102

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Solution

The third proportional to 24,896 and 52,102 is: 109,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896 : 52,102 = 52,102 : x
  2. Step 2: Convert to fraction form
    24,896/52,102 = 52,102/x
  3. Step 3: Cross multiply
    24,896x = 52,102 × 52,102
  4. Step 4: Simplify right side
    24,896x = 2,714,618,404
  5. Step 5: Solve for x
    x = 2,714,618,404/24,896
  6. Step 6: Final answer
    x = 109,038.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.