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Finding the Third Proportional to 1,841.91 and 4,030.59

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Solution

The third proportional to 1,841.91 and 4,030.59 is: 8,820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.91 : 4,030.59 = 4,030.59 : x
  2. Step 2: Convert to fraction form
    1,841.91/4,030.59 = 4,030.59/x
  3. Step 3: Cross multiply
    1,841.91x = 4,030.59 × 4,030.59
  4. Step 4: Simplify right side
    1,841.91x = 16,245,685.98
  5. Step 5: Solve for x
    x = 16,245,685.98/1,841.91
  6. Step 6: Final answer
    x = 8,820.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.