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Finding the Third Proportional to 25,901 and 57,247

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Solution

The third proportional to 25,901 and 57,247 is: 126,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,901 : 57,247 = 57,247 : x
  2. Step 2: Convert to fraction form
    25,901/57,247 = 57,247/x
  3. Step 3: Cross multiply
    25,901x = 57,247 × 57,247
  4. Step 4: Simplify right side
    25,901x = 3,277,219,009
  5. Step 5: Solve for x
    x = 3,277,219,009/25,901
  6. Step 6: Final answer
    x = 126,528.67

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.