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Finding the Third Proportional to 18,828 and 25,852.50

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Solution

The third proportional to 18,828 and 25,852.50 is: 35,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,828 : 25,852.50 = 25,852.50 : x
  2. Step 2: Convert to fraction form
    18,828/25,852.50 = 25,852.50/x
  3. Step 3: Cross multiply
    18,828x = 25,852.50 × 25,852.50
  4. Step 4: Simplify right side
    18,828x = 668,351,756.25
  5. Step 5: Solve for x
    x = 668,351,756.25/18,828
  6. Step 6: Final answer
    x = 35,497.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.