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Finding the Third Proportional to 6,980.34 and 15,189.19

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Solution

The third proportional to 6,980.34 and 15,189.19 is: 33,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.34 : 15,189.19 = 15,189.19 : x
  2. Step 2: Convert to fraction form
    6,980.34/15,189.19 = 15,189.19/x
  3. Step 3: Cross multiply
    6,980.34x = 15,189.19 × 15,189.19
  4. Step 4: Simplify right side
    6,980.34x = 230,711,416.91
  5. Step 5: Solve for x
    x = 230,711,416.91/6,980.34
  6. Step 6: Final answer
    x = 33,051.58

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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.