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Finding the Third Proportional to 26,537.63 and 37,180.69

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Solution

The third proportional to 26,537.63 and 37,180.69 is: 52,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,537.63 : 37,180.69 = 37,180.69 : x
  2. Step 2: Convert to fraction form
    26,537.63/37,180.69 = 37,180.69/x
  3. Step 3: Cross multiply
    26,537.63x = 37,180.69 × 37,180.69
  4. Step 4: Simplify right side
    26,537.63x = 1,382,403,522.97
  5. Step 5: Solve for x
    x = 1,382,403,522.97/26,537.63
  6. Step 6: Final answer
    x = 52,092.21

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.