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Finding the Third Proportional to 7,305.19 and 17,047.97

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Solution

The third proportional to 7,305.19 and 17,047.97 is: 39,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305.19 : 17,047.97 = 17,047.97 : x
  2. Step 2: Convert to fraction form
    7,305.19/17,047.97 = 17,047.97/x
  3. Step 3: Cross multiply
    7,305.19x = 17,047.97 × 17,047.97
  4. Step 4: Simplify right side
    7,305.19x = 290,633,238.50
  5. Step 5: Solve for x
    x = 290,633,238.50/7,305.19
  6. Step 6: Final answer
    x = 39,784.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.