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Finding the Third Proportional to 17,470.69 and 23,276.53

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Solution

The third proportional to 17,470.69 and 23,276.53 is: 31,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,470.69 : 23,276.53 = 23,276.53 : x
  2. Step 2: Convert to fraction form
    17,470.69/23,276.53 = 23,276.53/x
  3. Step 3: Cross multiply
    17,470.69x = 23,276.53 × 23,276.53
  4. Step 4: Simplify right side
    17,470.69x = 541,796,907.03
  5. Step 5: Solve for x
    x = 541,796,907.03/17,470.69
  6. Step 6: Final answer
    x = 31,011.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.