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Finding the Third Proportional to 9,460.13 and 20,580.75

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Solution

The third proportional to 9,460.13 and 20,580.75 is: 44,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.13 : 20,580.75 = 20,580.75 : x
  2. Step 2: Convert to fraction form
    9,460.13/20,580.75 = 20,580.75/x
  3. Step 3: Cross multiply
    9,460.13x = 20,580.75 × 20,580.75
  4. Step 4: Simplify right side
    9,460.13x = 423,567,270.56
  5. Step 5: Solve for x
    x = 423,567,270.56/9,460.13
  6. Step 6: Final answer
    x = 44,773.96

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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.