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Finding the Third Proportional to 7,959.20 and 17,300.46

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Solution

The third proportional to 7,959.20 and 17,300.46 is: 37,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.20 : 17,300.46 = 17,300.46 : x
  2. Step 2: Convert to fraction form
    7,959.20/17,300.46 = 17,300.46/x
  3. Step 3: Cross multiply
    7,959.20x = 17,300.46 × 17,300.46
  4. Step 4: Simplify right side
    7,959.20x = 299,305,948.65
  5. Step 5: Solve for x
    x = 299,305,948.65/7,959.20
  6. Step 6: Final answer
    x = 37,605.03

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Why These Related Problems?

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