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Finding the Third Proportional to 1,558.69 and 3,604.92

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Solution

The third proportional to 1,558.69 and 3,604.92 is: 8,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.69 : 3,604.92 = 3,604.92 : x
  2. Step 2: Convert to fraction form
    1,558.69/3,604.92 = 3,604.92/x
  3. Step 3: Cross multiply
    1,558.69x = 3,604.92 × 3,604.92
  4. Step 4: Simplify right side
    1,558.69x = 12,995,461.72
  5. Step 5: Solve for x
    x = 12,995,461.72/1,558.69
  6. Step 6: Final answer
    x = 8,337.44

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.