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Finding the Third Proportional to 26,295.26 and 56,896.17

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Solution

The third proportional to 26,295.26 and 56,896.17 is: 123,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,295.26 : 56,896.17 = 56,896.17 : x
  2. Step 2: Convert to fraction form
    26,295.26/56,896.17 = 56,896.17/x
  3. Step 3: Cross multiply
    26,295.26x = 56,896.17 × 56,896.17
  4. Step 4: Simplify right side
    26,295.26x = 3,237,174,374.03
  5. Step 5: Solve for x
    x = 3,237,174,374.03/26,295.26
  6. Step 6: Final answer
    x = 123,108.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.