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Finding the Third Proportional to 24,281 and 33,229

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Solution

The third proportional to 24,281 and 33,229 is: 45,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,281 : 33,229 = 33,229 : x
  2. Step 2: Convert to fraction form
    24,281/33,229 = 33,229/x
  3. Step 3: Cross multiply
    24,281x = 33,229 × 33,229
  4. Step 4: Simplify right side
    24,281x = 1,104,166,441
  5. Step 5: Solve for x
    x = 1,104,166,441/24,281
  6. Step 6: Final answer
    x = 45,474.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.