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Finding the Third Proportional to 39,876.75 and 94,284

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Solution

The third proportional to 39,876.75 and 94,284 is: 222,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,876.75 : 94,284 = 94,284 : x
  2. Step 2: Convert to fraction form
    39,876.75/94,284 = 94,284/x
  3. Step 3: Cross multiply
    39,876.75x = 94,284 × 94,284
  4. Step 4: Simplify right side
    39,876.75x = 8,889,472,656
  5. Step 5: Solve for x
    x = 8,889,472,656/39,876.75
  6. Step 6: Final answer
    x = 222,923.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.