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Finding the Third Proportional to 9,493.59 and 20,777.06

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Solution

The third proportional to 9,493.59 and 20,777.06 is: 45,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.59 : 20,777.06 = 20,777.06 : x
  2. Step 2: Convert to fraction form
    9,493.59/20,777.06 = 20,777.06/x
  3. Step 3: Cross multiply
    9,493.59x = 20,777.06 × 20,777.06
  4. Step 4: Simplify right side
    9,493.59x = 431,686,326.13
  5. Step 5: Solve for x
    x = 431,686,326.13/9,493.59
  6. Step 6: Final answer
    x = 45,471.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.