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Finding the Third Proportional to 14,049 and 30,276

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Solution

The third proportional to 14,049 and 30,276 is: 65,245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049 : 30,276 = 30,276 : x
  2. Step 2: Convert to fraction form
    14,049/30,276 = 30,276/x
  3. Step 3: Cross multiply
    14,049x = 30,276 × 30,276
  4. Step 4: Simplify right side
    14,049x = 916,636,176
  5. Step 5: Solve for x
    x = 916,636,176/14,049
  6. Step 6: Final answer
    x = 65,245.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.