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Finding the Third Proportional to 23,031 and 33,342.75

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Solution

The third proportional to 23,031 and 33,342.75 is: 48,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031 : 33,342.75 = 33,342.75 : x
  2. Step 2: Convert to fraction form
    23,031/33,342.75 = 33,342.75/x
  3. Step 3: Cross multiply
    23,031x = 33,342.75 × 33,342.75
  4. Step 4: Simplify right side
    23,031x = 1,111,738,977.56
  5. Step 5: Solve for x
    x = 1,111,738,977.56/23,031
  6. Step 6: Final answer
    x = 48,271.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.