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Finding the Third Proportional to 25,226 and 53,758

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Solution

The third proportional to 25,226 and 53,758 is: 114,561.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,226 : 53,758 = 53,758 : x
  2. Step 2: Convert to fraction form
    25,226/53,758 = 53,758/x
  3. Step 3: Cross multiply
    25,226x = 53,758 × 53,758
  4. Step 4: Simplify right side
    25,226x = 2,889,922,564
  5. Step 5: Solve for x
    x = 2,889,922,564/25,226
  6. Step 6: Final answer
    x = 114,561.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.