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Finding the Third Proportional to 17,470.69 and 37,852.31

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Solution

The third proportional to 17,470.69 and 37,852.31 is: 82,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,470.69 : 37,852.31 = 37,852.31 : x
  2. Step 2: Convert to fraction form
    17,470.69/37,852.31 = 37,852.31/x
  3. Step 3: Cross multiply
    17,470.69x = 37,852.31 × 37,852.31
  4. Step 4: Simplify right side
    17,470.69x = 1,432,797,561.60
  5. Step 5: Solve for x
    x = 1,432,797,561.60/17,470.69
  6. Step 6: Final answer
    x = 82,011.52

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