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Finding the Third Proportional to 39,329.75 and 85,570.75

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Solution

The third proportional to 39,329.75 and 85,570.75 is: 186,178.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,329.75 : 85,570.75 = 85,570.75 : x
  2. Step 2: Convert to fraction form
    39,329.75/85,570.75 = 85,570.75/x
  3. Step 3: Cross multiply
    39,329.75x = 85,570.75 × 85,570.75
  4. Step 4: Simplify right side
    39,329.75x = 7,322,353,255.56
  5. Step 5: Solve for x
    x = 7,322,353,255.56/39,329.75
  6. Step 6: Final answer
    x = 186,178.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.