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Finding the Third Proportional to 9,613.69 and 21,034.69

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Solution

The third proportional to 9,613.69 and 21,034.69 is: 46,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.69 : 21,034.69 = 21,034.69 : x
  2. Step 2: Convert to fraction form
    9,613.69/21,034.69 = 21,034.69/x
  3. Step 3: Cross multiply
    9,613.69x = 21,034.69 × 21,034.69
  4. Step 4: Simplify right side
    9,613.69x = 442,458,078.22
  5. Step 5: Solve for x
    x = 442,458,078.22/9,613.69
  6. Step 6: Final answer
    x = 46,023.76

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Why These Related Problems?

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