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Finding the Third Proportional to 15,922.83 and 33,742.83

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Solution

The third proportional to 15,922.83 and 33,742.83 is: 71,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922.83 : 33,742.83 = 33,742.83 : x
  2. Step 2: Convert to fraction form
    15,922.83/33,742.83 = 33,742.83/x
  3. Step 3: Cross multiply
    15,922.83x = 33,742.83 × 33,742.83
  4. Step 4: Simplify right side
    15,922.83x = 1,138,578,449.87
  5. Step 5: Solve for x
    x = 1,138,578,449.87/15,922.83
  6. Step 6: Final answer
    x = 71,506.04

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.