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Finding the Third Proportional to 5,828.63 and 9,269.44

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Solution

The third proportional to 5,828.63 and 9,269.44 is: 14,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.63 : 9,269.44 = 9,269.44 : x
  2. Step 2: Convert to fraction form
    5,828.63/9,269.44 = 9,269.44/x
  3. Step 3: Cross multiply
    5,828.63x = 9,269.44 × 9,269.44
  4. Step 4: Simplify right side
    5,828.63x = 85,922,471.57
  5. Step 5: Solve for x
    x = 85,922,471.57/5,828.63
  6. Step 6: Final answer
    x = 14,741.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.