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Finding the Third Proportional to 25,456 and 53,235

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Solution

The third proportional to 25,456 and 53,235 is: 111,327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,456 : 53,235 = 53,235 : x
  2. Step 2: Convert to fraction form
    25,456/53,235 = 53,235/x
  3. Step 3: Cross multiply
    25,456x = 53,235 × 53,235
  4. Step 4: Simplify right side
    25,456x = 2,833,965,225
  5. Step 5: Solve for x
    x = 2,833,965,225/25,456
  6. Step 6: Final answer
    x = 111,327.99

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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.