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Finding the Third Proportional to 25,396 and 51,412

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Solution

The third proportional to 25,396 and 51,412 is: 104,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,396 : 51,412 = 51,412 : x
  2. Step 2: Convert to fraction form
    25,396/51,412 = 51,412/x
  3. Step 3: Cross multiply
    25,396x = 51,412 × 51,412
  4. Step 4: Simplify right side
    25,396x = 2,643,193,744
  5. Step 5: Solve for x
    x = 2,643,193,744/25,396
  6. Step 6: Final answer
    x = 104,079.14

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.