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Finding the Third Proportional to 32,896 and 71,326

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Solution

The third proportional to 32,896 and 71,326 is: 154,650.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896 : 71,326 = 71,326 : x
  2. Step 2: Convert to fraction form
    32,896/71,326 = 71,326/x
  3. Step 3: Cross multiply
    32,896x = 71,326 × 71,326
  4. Step 4: Simplify right side
    32,896x = 5,087,398,276
  5. Step 5: Solve for x
    x = 5,087,398,276/32,896
  6. Step 6: Final answer
    x = 154,650.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.