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Finding the Third Proportional to 1,558.88 and 2,104.69

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Solution

The third proportional to 1,558.88 and 2,104.69 is: 2,841.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.88 : 2,104.69 = 2,104.69 : x
  2. Step 2: Convert to fraction form
    1,558.88/2,104.69 = 2,104.69/x
  3. Step 3: Cross multiply
    1,558.88x = 2,104.69 × 2,104.69
  4. Step 4: Simplify right side
    1,558.88x = 4,429,709.47
  5. Step 5: Solve for x
    x = 4,429,709.47/1,558.88
  6. Step 6: Final answer
    x = 2,841.61

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.