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Finding the Third Proportional to 2,071.83 and 3,100.15

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Solution

The third proportional to 2,071.83 and 3,100.15 is: 4,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.83 : 3,100.15 = 3,100.15 : x
  2. Step 2: Convert to fraction form
    2,071.83/3,100.15 = 3,100.15/x
  3. Step 3: Cross multiply
    2,071.83x = 3,100.15 × 3,100.15
  4. Step 4: Simplify right side
    2,071.83x = 9,610,920.33
  5. Step 5: Solve for x
    x = 9,610,920.33/2,071.83
  6. Step 6: Final answer
    x = 4,638.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.