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Finding the Third Proportional to 2,085.50 and 2,933

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Solution

The third proportional to 2,085.50 and 2,933 is: 4,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.50 : 2,933 = 2,933 : x
  2. Step 2: Convert to fraction form
    2,085.50/2,933 = 2,933/x
  3. Step 3: Cross multiply
    2,085.50x = 2,933 × 2,933
  4. Step 4: Simplify right side
    2,085.50x = 8,602,489
  5. Step 5: Solve for x
    x = 8,602,489/2,085.50
  6. Step 6: Final answer
    x = 4,124.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.