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Finding the Third Proportional to 4,980.23 and 6,982.45

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Solution

The third proportional to 4,980.23 and 6,982.45 is: 9,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.23 : 6,982.45 = 6,982.45 : x
  2. Step 2: Convert to fraction form
    4,980.23/6,982.45 = 6,982.45/x
  3. Step 3: Cross multiply
    4,980.23x = 6,982.45 × 6,982.45
  4. Step 4: Simplify right side
    4,980.23x = 48,754,651.64
  5. Step 5: Solve for x
    x = 48,754,651.64/4,980.23
  6. Step 6: Final answer
    x = 9,789.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.