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Finding the Third Proportional to 14,216 and 33,048

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Solution

The third proportional to 14,216 and 33,048 is: 76,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216 : 33,048 = 33,048 : x
  2. Step 2: Convert to fraction form
    14,216/33,048 = 33,048/x
  3. Step 3: Cross multiply
    14,216x = 33,048 × 33,048
  4. Step 4: Simplify right side
    14,216x = 1,092,170,304
  5. Step 5: Solve for x
    x = 1,092,170,304/14,216
  6. Step 6: Final answer
    x = 76,826.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.