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Finding the Third Proportional to 32,607.56 and 43,676.72

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Solution

The third proportional to 32,607.56 and 43,676.72 is: 58,503.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,607.56 : 43,676.72 = 43,676.72 : x
  2. Step 2: Convert to fraction form
    32,607.56/43,676.72 = 43,676.72/x
  3. Step 3: Cross multiply
    32,607.56x = 43,676.72 × 43,676.72
  4. Step 4: Simplify right side
    32,607.56x = 1,907,655,760.77
  5. Step 5: Solve for x
    x = 1,907,655,760.77/32,607.56
  6. Step 6: Final answer
    x = 58,503.48

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.