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Finding the Third Proportional to 38,172 and 57,676.50

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Solution

The third proportional to 38,172 and 57,676.50 is: 87,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,172 : 57,676.50 = 57,676.50 : x
  2. Step 2: Convert to fraction form
    38,172/57,676.50 = 57,676.50/x
  3. Step 3: Cross multiply
    38,172x = 57,676.50 × 57,676.50
  4. Step 4: Simplify right side
    38,172x = 3,326,578,652.25
  5. Step 5: Solve for x
    x = 3,326,578,652.25/38,172
  6. Step 6: Final answer
    x = 87,147.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.