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Finding the Third Proportional to 17,651 and 38,854

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Solution

The third proportional to 17,651 and 38,854 is: 85,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,651 : 38,854 = 38,854 : x
  2. Step 2: Convert to fraction form
    17,651/38,854 = 38,854/x
  3. Step 3: Cross multiply
    17,651x = 38,854 × 38,854
  4. Step 4: Simplify right side
    17,651x = 1,509,633,316
  5. Step 5: Solve for x
    x = 1,509,633,316/17,651
  6. Step 6: Final answer
    x = 85,526.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.