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Finding the Third Proportional to 25,670 and 38,399

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Solution

The third proportional to 25,670 and 38,399 is: 57,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,670 : 38,399 = 38,399 : x
  2. Step 2: Convert to fraction form
    25,670/38,399 = 38,399/x
  3. Step 3: Cross multiply
    25,670x = 38,399 × 38,399
  4. Step 4: Simplify right side
    25,670x = 1,474,483,201
  5. Step 5: Solve for x
    x = 1,474,483,201/25,670
  6. Step 6: Final answer
    x = 57,439.94

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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.