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Finding the Third Proportional to 25,574 and 57,100

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Solution

The third proportional to 25,574 and 57,100 is: 127,489.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574 : 57,100 = 57,100 : x
  2. Step 2: Convert to fraction form
    25,574/57,100 = 57,100/x
  3. Step 3: Cross multiply
    25,574x = 57,100 × 57,100
  4. Step 4: Simplify right side
    25,574x = 3,260,410,000
  5. Step 5: Solve for x
    x = 3,260,410,000/25,574
  6. Step 6: Final answer
    x = 127,489.25

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.