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Finding the Third Proportional to 25,304 and 53,608

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Solution

The third proportional to 25,304 and 53,608 is: 113,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,304 : 53,608 = 53,608 : x
  2. Step 2: Convert to fraction form
    25,304/53,608 = 53,608/x
  3. Step 3: Cross multiply
    25,304x = 53,608 × 53,608
  4. Step 4: Simplify right side
    25,304x = 2,873,817,664
  5. Step 5: Solve for x
    x = 2,873,817,664/25,304
  6. Step 6: Final answer
    x = 113,571.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.