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Finding the Third Proportional to 7,086.23 and 15,580.48

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Solution

The third proportional to 7,086.23 and 15,580.48 is: 34,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.23 : 15,580.48 = 15,580.48 : x
  2. Step 2: Convert to fraction form
    7,086.23/15,580.48 = 15,580.48/x
  3. Step 3: Cross multiply
    7,086.23x = 15,580.48 × 15,580.48
  4. Step 4: Simplify right side
    7,086.23x = 242,751,249.91
  5. Step 5: Solve for x
    x = 242,751,249.91/7,086.23
  6. Step 6: Final answer
    x = 34,256.73

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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.