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Finding the Third Proportional to 42,628.78 and 66,676.78

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Solution

The third proportional to 42,628.78 and 66,676.78 is: 104,290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,628.78 : 66,676.78 = 66,676.78 : x
  2. Step 2: Convert to fraction form
    42,628.78/66,676.78 = 66,676.78/x
  3. Step 3: Cross multiply
    42,628.78x = 66,676.78 × 66,676.78
  4. Step 4: Simplify right side
    42,628.78x = 4,445,793,157.86
  5. Step 5: Solve for x
    x = 4,445,793,157.86/42,628.78
  6. Step 6: Final answer
    x = 104,290.88

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