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Finding the Third Proportional to 16,284 and 27,306

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Solution

The third proportional to 16,284 and 27,306 is: 45,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284 : 27,306 = 27,306 : x
  2. Step 2: Convert to fraction form
    16,284/27,306 = 27,306/x
  3. Step 3: Cross multiply
    16,284x = 27,306 × 27,306
  4. Step 4: Simplify right side
    16,284x = 745,617,636
  5. Step 5: Solve for x
    x = 745,617,636/16,284
  6. Step 6: Final answer
    x = 45,788.36

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.