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Finding the Third Proportional to 25,608 and 38,412

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Solution

The third proportional to 25,608 and 38,412 is: 57,618

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,608 : 38,412 = 38,412 : x
  2. Step 2: Convert to fraction form
    25,608/38,412 = 38,412/x
  3. Step 3: Cross multiply
    25,608x = 38,412 × 38,412
  4. Step 4: Simplify right side
    25,608x = 1,475,481,744
  5. Step 5: Solve for x
    x = 1,475,481,744/25,608
  6. Step 6: Final answer
    x = 57,618

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.