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Finding the Third Proportional to 11,910 and 28,815

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Solution

The third proportional to 11,910 and 28,815 is: 69,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,910 : 28,815 = 28,815 : x
  2. Step 2: Convert to fraction form
    11,910/28,815 = 28,815/x
  3. Step 3: Cross multiply
    11,910x = 28,815 × 28,815
  4. Step 4: Simplify right side
    11,910x = 830,304,225
  5. Step 5: Solve for x
    x = 830,304,225/11,910
  6. Step 6: Final answer
    x = 69,714.88

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.