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Finding the Third Proportional to 43,015.50 and 94,293

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Solution

The third proportional to 43,015.50 and 94,293 is: 206,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,015.50 : 94,293 = 94,293 : x
  2. Step 2: Convert to fraction form
    43,015.50/94,293 = 94,293/x
  3. Step 3: Cross multiply
    43,015.50x = 94,293 × 94,293
  4. Step 4: Simplify right side
    43,015.50x = 8,891,169,849
  5. Step 5: Solve for x
    x = 8,891,169,849/43,015.50
  6. Step 6: Final answer
    x = 206,696.88

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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.