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Finding the Third Proportional to 7,959.52 and 17,301.09

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Solution

The third proportional to 7,959.52 and 17,301.09 is: 37,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.52 : 17,301.09 = 17,301.09 : x
  2. Step 2: Convert to fraction form
    7,959.52/17,301.09 = 17,301.09/x
  3. Step 3: Cross multiply
    7,959.52x = 17,301.09 × 17,301.09
  4. Step 4: Simplify right side
    7,959.52x = 299,327,844.95
  5. Step 5: Solve for x
    x = 299,327,844.95/7,959.52
  6. Step 6: Final answer
    x = 37,606.29

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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.