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Finding the Third Proportional to 1,834.60 and 3,906.98

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Solution

The third proportional to 1,834.60 and 3,906.98 is: 8,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.60 : 3,906.98 = 3,906.98 : x
  2. Step 2: Convert to fraction form
    1,834.60/3,906.98 = 3,906.98/x
  3. Step 3: Cross multiply
    1,834.60x = 3,906.98 × 3,906.98
  4. Step 4: Simplify right side
    1,834.60x = 15,264,526.91
  5. Step 5: Solve for x
    x = 15,264,526.91/1,834.60
  6. Step 6: Final answer
    x = 8,320.35

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.