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Finding the Third Proportional to 26,780.63 and 31,640.63

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Solution

The third proportional to 26,780.63 and 31,640.63 is: 37,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,780.63 : 31,640.63 = 31,640.63 : x
  2. Step 2: Convert to fraction form
    26,780.63/31,640.63 = 31,640.63/x
  3. Step 3: Cross multiply
    26,780.63x = 31,640.63 × 31,640.63
  4. Step 4: Simplify right side
    26,780.63x = 1,001,129,150.39
  5. Step 5: Solve for x
    x = 1,001,129,150.39/26,780.63
  6. Step 6: Final answer
    x = 37,382.59

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.