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Finding the Third Proportional to 39,475.69 and 57,140.44

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Solution

The third proportional to 39,475.69 and 57,140.44 is: 82,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,475.69 : 57,140.44 = 57,140.44 : x
  2. Step 2: Convert to fraction form
    39,475.69/57,140.44 = 57,140.44/x
  3. Step 3: Cross multiply
    39,475.69x = 57,140.44 × 57,140.44
  4. Step 4: Simplify right side
    39,475.69x = 3,265,029,597.69
  5. Step 5: Solve for x
    x = 3,265,029,597.69/39,475.69
  6. Step 6: Final answer
    x = 82,709.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.