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Finding the Third Proportional to 6,980.08 and 15,215.03

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Solution

The third proportional to 6,980.08 and 15,215.03 is: 33,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.08 : 15,215.03 = 15,215.03 : x
  2. Step 2: Convert to fraction form
    6,980.08/15,215.03 = 15,215.03/x
  3. Step 3: Cross multiply
    6,980.08x = 15,215.03 × 15,215.03
  4. Step 4: Simplify right side
    6,980.08x = 231,497,057.07
  5. Step 5: Solve for x
    x = 231,497,057.07/6,980.08
  6. Step 6: Final answer
    x = 33,165.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.