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Finding the Third Proportional to 26,126 and 61,664

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Solution

The third proportional to 26,126 and 61,664 is: 145,542.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,126 : 61,664 = 61,664 : x
  2. Step 2: Convert to fraction form
    26,126/61,664 = 61,664/x
  3. Step 3: Cross multiply
    26,126x = 61,664 × 61,664
  4. Step 4: Simplify right side
    26,126x = 3,802,448,896
  5. Step 5: Solve for x
    x = 3,802,448,896/26,126
  6. Step 6: Final answer
    x = 145,542.71

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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.