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Finding the Third Proportional to 25,660 and 38,388

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Solution

The third proportional to 25,660 and 38,388 is: 57,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,660 : 38,388 = 38,388 : x
  2. Step 2: Convert to fraction form
    25,660/38,388 = 38,388/x
  3. Step 3: Cross multiply
    25,660x = 38,388 × 38,388
  4. Step 4: Simplify right side
    25,660x = 1,473,638,544
  5. Step 5: Solve for x
    x = 1,473,638,544/25,660
  6. Step 6: Final answer
    x = 57,429.41

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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.