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Finding the Third Proportional to 9,549.56 and 20,980.13

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Solution

The third proportional to 9,549.56 and 20,980.13 is: 46,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.56 : 20,980.13 = 20,980.13 : x
  2. Step 2: Convert to fraction form
    9,549.56/20,980.13 = 20,980.13/x
  3. Step 3: Cross multiply
    9,549.56x = 20,980.13 × 20,980.13
  4. Step 4: Simplify right side
    9,549.56x = 440,165,645.02
  5. Step 5: Solve for x
    x = 440,165,645.02/9,549.56
  6. Step 6: Final answer
    x = 46,092.76

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