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Finding the Third Proportional to 26,256.38 and 57,615.38

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Solution

The third proportional to 26,256.38 and 57,615.38 is: 126,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,256.38 : 57,615.38 = 57,615.38 : x
  2. Step 2: Convert to fraction form
    26,256.38/57,615.38 = 57,615.38/x
  3. Step 3: Cross multiply
    26,256.38x = 57,615.38 × 57,615.38
  4. Step 4: Simplify right side
    26,256.38x = 3,319,531,436.39
  5. Step 5: Solve for x
    x = 3,319,531,436.39/26,256.38
  6. Step 6: Final answer
    x = 126,427.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.