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Finding the Third Proportional to 39,704.63 and 82,676.25

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Solution

The third proportional to 39,704.63 and 82,676.25 is: 172,155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,704.63 : 82,676.25 = 82,676.25 : x
  2. Step 2: Convert to fraction form
    39,704.63/82,676.25 = 82,676.25/x
  3. Step 3: Cross multiply
    39,704.63x = 82,676.25 × 82,676.25
  4. Step 4: Simplify right side
    39,704.63x = 6,835,362,314.06
  5. Step 5: Solve for x
    x = 6,835,362,314.06/39,704.63
  6. Step 6: Final answer
    x = 172,155.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.