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Finding the Third Proportional to 26,137.69 and 41,537.81

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Solution

The third proportional to 26,137.69 and 41,537.81 is: 66,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,137.69 : 41,537.81 = 41,537.81 : x
  2. Step 2: Convert to fraction form
    26,137.69/41,537.81 = 41,537.81/x
  3. Step 3: Cross multiply
    26,137.69x = 41,537.81 × 41,537.81
  4. Step 4: Simplify right side
    26,137.69x = 1,725,389,867.29
  5. Step 5: Solve for x
    x = 1,725,389,867.29/26,137.69
  6. Step 6: Final answer
    x = 66,011.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.