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Finding the Third Proportional to 7,034.34 and 15,010.31

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Solution

The third proportional to 7,034.34 and 15,010.31 is: 32,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.34 : 15,010.31 = 15,010.31 : x
  2. Step 2: Convert to fraction form
    7,034.34/15,010.31 = 15,010.31/x
  3. Step 3: Cross multiply
    7,034.34x = 15,010.31 × 15,010.31
  4. Step 4: Simplify right side
    7,034.34x = 225,309,481.35
  5. Step 5: Solve for x
    x = 225,309,481.35/7,034.34
  6. Step 6: Final answer
    x = 32,029.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.