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Finding the Third Proportional to 39,742.50 and 86,868

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Solution

The third proportional to 39,742.50 and 86,868 is: 189,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,742.50 : 86,868 = 86,868 : x
  2. Step 2: Convert to fraction form
    39,742.50/86,868 = 86,868/x
  3. Step 3: Cross multiply
    39,742.50x = 86,868 × 86,868
  4. Step 4: Simplify right side
    39,742.50x = 7,546,049,424
  5. Step 5: Solve for x
    x = 7,546,049,424/39,742.50
  6. Step 6: Final answer
    x = 189,873.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.