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Finding the Third Proportional to 25,692 and 53,400

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Solution

The third proportional to 25,692 and 53,400 is: 110,990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692 : 53,400 = 53,400 : x
  2. Step 2: Convert to fraction form
    25,692/53,400 = 53,400/x
  3. Step 3: Cross multiply
    25,692x = 53,400 × 53,400
  4. Step 4: Simplify right side
    25,692x = 2,851,560,000
  5. Step 5: Solve for x
    x = 2,851,560,000/25,692
  6. Step 6: Final answer
    x = 110,990.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.