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Finding the Third Proportional to 25,958 and 39,450

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Solution

The third proportional to 25,958 and 39,450 is: 59,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,958 : 39,450 = 39,450 : x
  2. Step 2: Convert to fraction form
    25,958/39,450 = 39,450/x
  3. Step 3: Cross multiply
    25,958x = 39,450 × 39,450
  4. Step 4: Simplify right side
    25,958x = 1,556,302,500
  5. Step 5: Solve for x
    x = 1,556,302,500/25,958
  6. Step 6: Final answer
    x = 59,954.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.