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Finding the Third Proportional to 26,543.25 and 41,429.25

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Solution

The third proportional to 26,543.25 and 41,429.25 is: 64,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,543.25 : 41,429.25 = 41,429.25 : x
  2. Step 2: Convert to fraction form
    26,543.25/41,429.25 = 41,429.25/x
  3. Step 3: Cross multiply
    26,543.25x = 41,429.25 × 41,429.25
  4. Step 4: Simplify right side
    26,543.25x = 1,716,382,755.56
  5. Step 5: Solve for x
    x = 1,716,382,755.56/26,543.25
  6. Step 6: Final answer
    x = 64,663.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.