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Finding the Third Proportional to 14,274 and 32,283

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Solution

The third proportional to 14,274 and 32,283 is: 73,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274 : 32,283 = 32,283 : x
  2. Step 2: Convert to fraction form
    14,274/32,283 = 32,283/x
  3. Step 3: Cross multiply
    14,274x = 32,283 × 32,283
  4. Step 4: Simplify right side
    14,274x = 1,042,192,089
  5. Step 5: Solve for x
    x = 1,042,192,089/14,274
  6. Step 6: Final answer
    x = 73,013.32

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.