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Finding the Third Proportional to 1,903.78 and 3,085.88

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Solution

The third proportional to 1,903.78 and 3,085.88 is: 5,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.78 : 3,085.88 = 3,085.88 : x
  2. Step 2: Convert to fraction form
    1,903.78/3,085.88 = 3,085.88/x
  3. Step 3: Cross multiply
    1,903.78x = 3,085.88 × 3,085.88
  4. Step 4: Simplify right side
    1,903.78x = 9,522,624.52
  5. Step 5: Solve for x
    x = 9,522,624.52/1,903.78
  6. Step 6: Final answer
    x = 5,001.95

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.