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Finding the Third Proportional to 17,754.19 and 37,151.16

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Solution

The third proportional to 17,754.19 and 37,151.16 is: 77,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.19 : 37,151.16 = 37,151.16 : x
  2. Step 2: Convert to fraction form
    17,754.19/37,151.16 = 37,151.16/x
  3. Step 3: Cross multiply
    17,754.19x = 37,151.16 × 37,151.16
  4. Step 4: Simplify right side
    17,754.19x = 1,380,208,410.71
  5. Step 5: Solve for x
    x = 1,380,208,410.71/17,754.19
  6. Step 6: Final answer
    x = 77,739.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.