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Finding the Third Proportional to 16,966 and 39,308

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Solution

The third proportional to 16,966 and 39,308 is: 91,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,966 : 39,308 = 39,308 : x
  2. Step 2: Convert to fraction form
    16,966/39,308 = 39,308/x
  3. Step 3: Cross multiply
    16,966x = 39,308 × 39,308
  4. Step 4: Simplify right side
    16,966x = 1,545,118,864
  5. Step 5: Solve for x
    x = 1,545,118,864/16,966
  6. Step 6: Final answer
    x = 91,071.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.