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Finding the Third Proportional to 6,829.31 and 15,030.56

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Solution

The third proportional to 6,829.31 and 15,030.56 is: 33,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.31 : 15,030.56 = 15,030.56 : x
  2. Step 2: Convert to fraction form
    6,829.31/15,030.56 = 15,030.56/x
  3. Step 3: Cross multiply
    6,829.31x = 15,030.56 × 15,030.56
  4. Step 4: Simplify right side
    6,829.31x = 225,917,809.07
  5. Step 5: Solve for x
    x = 225,917,809.07/6,829.31
  6. Step 6: Final answer
    x = 33,080.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.