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Finding the Third Proportional to 909.83 and 1,951.00

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Solution

The third proportional to 909.83 and 1,951.00 is: 4,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.83 : 1,951.00 = 1,951.00 : x
  2. Step 2: Convert to fraction form
    909.83/1,951.00 = 1,951.00/x
  3. Step 3: Cross multiply
    909.83x = 1,951.00 × 1,951.00
  4. Step 4: Simplify right side
    909.83x = 3,806,402.91
  5. Step 5: Solve for x
    x = 3,806,402.91/909.83
  6. Step 6: Final answer
    x = 4,183.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.