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Finding the Third Proportional to 10,504.69 and 16,633.69

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Solution

The third proportional to 10,504.69 and 16,633.69 is: 26,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.69 : 16,633.69 = 16,633.69 : x
  2. Step 2: Convert to fraction form
    10,504.69/16,633.69 = 16,633.69/x
  3. Step 3: Cross multiply
    10,504.69x = 16,633.69 × 16,633.69
  4. Step 4: Simplify right side
    10,504.69x = 276,679,559.85
  5. Step 5: Solve for x
    x = 276,679,559.85/10,504.69
  6. Step 6: Final answer
    x = 26,338.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.