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Finding the Third Proportional to 39,243.75 and 84,927

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Solution

The third proportional to 39,243.75 and 84,927 is: 183,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,243.75 : 84,927 = 84,927 : x
  2. Step 2: Convert to fraction form
    39,243.75/84,927 = 84,927/x
  3. Step 3: Cross multiply
    39,243.75x = 84,927 × 84,927
  4. Step 4: Simplify right side
    39,243.75x = 7,212,595,329
  5. Step 5: Solve for x
    x = 7,212,595,329/39,243.75
  6. Step 6: Final answer
    x = 183,789.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.