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Finding the Third Proportional to 3,586 and 7,854

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Solution

The third proportional to 3,586 and 7,854 is: 17,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586 : 7,854 = 7,854 : x
  2. Step 2: Convert to fraction form
    3,586/7,854 = 7,854/x
  3. Step 3: Cross multiply
    3,586x = 7,854 × 7,854
  4. Step 4: Simplify right side
    3,586x = 61,685,316
  5. Step 5: Solve for x
    x = 61,685,316/3,586
  6. Step 6: Final answer
    x = 17,201.71

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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.