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Finding the Third Proportional to 25,224 and 33,620

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Solution

The third proportional to 25,224 and 33,620 is: 44,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,224 : 33,620 = 33,620 : x
  2. Step 2: Convert to fraction form
    25,224/33,620 = 33,620/x
  3. Step 3: Cross multiply
    25,224x = 33,620 × 33,620
  4. Step 4: Simplify right side
    25,224x = 1,130,304,400
  5. Step 5: Solve for x
    x = 1,130,304,400/25,224
  6. Step 6: Final answer
    x = 44,810.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.