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Finding the Third Proportional to 16,072 and 27,628

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Solution

The third proportional to 16,072 and 27,628 is: 47,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072 : 27,628 = 27,628 : x
  2. Step 2: Convert to fraction form
    16,072/27,628 = 27,628/x
  3. Step 3: Cross multiply
    16,072x = 27,628 × 27,628
  4. Step 4: Simplify right side
    16,072x = 763,306,384
  5. Step 5: Solve for x
    x = 763,306,384/16,072
  6. Step 6: Final answer
    x = 47,492.93

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.