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Finding the Third Proportional to 24,048 and 32,100

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Solution

The third proportional to 24,048 and 32,100 is: 42,848.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,048 : 32,100 = 32,100 : x
  2. Step 2: Convert to fraction form
    24,048/32,100 = 32,100/x
  3. Step 3: Cross multiply
    24,048x = 32,100 × 32,100
  4. Step 4: Simplify right side
    24,048x = 1,030,410,000
  5. Step 5: Solve for x
    x = 1,030,410,000/24,048
  6. Step 6: Final answer
    x = 42,848.05

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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.