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Finding the Third Proportional to 14,260 and 33,045

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Solution

The third proportional to 14,260 and 33,045 is: 76,575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,260 : 33,045 = 33,045 : x
  2. Step 2: Convert to fraction form
    14,260/33,045 = 33,045/x
  3. Step 3: Cross multiply
    14,260x = 33,045 × 33,045
  4. Step 4: Simplify right side
    14,260x = 1,091,972,025
  5. Step 5: Solve for x
    x = 1,091,972,025/14,260
  6. Step 6: Final answer
    x = 76,575.88

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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.