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Finding the Third Proportional to 4,636.69 and 10,042.59

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Solution

The third proportional to 4,636.69 and 10,042.59 is: 21,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.69 : 10,042.59 = 10,042.59 : x
  2. Step 2: Convert to fraction form
    4,636.69/10,042.59 = 10,042.59/x
  3. Step 3: Cross multiply
    4,636.69x = 10,042.59 × 10,042.59
  4. Step 4: Simplify right side
    4,636.69x = 100,853,689.23
  5. Step 5: Solve for x
    x = 100,853,689.23/4,636.69
  6. Step 6: Final answer
    x = 21,751.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.