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Finding the Third Proportional to 26,128 and 61,668

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Solution

The third proportional to 26,128 and 61,668 is: 145,550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,128 : 61,668 = 61,668 : x
  2. Step 2: Convert to fraction form
    26,128/61,668 = 61,668/x
  3. Step 3: Cross multiply
    26,128x = 61,668 × 61,668
  4. Step 4: Simplify right side
    26,128x = 3,802,942,224
  5. Step 5: Solve for x
    x = 3,802,942,224/26,128
  6. Step 6: Final answer
    x = 145,550.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.