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Finding the Third Proportional to 9,633.94 and 20,953.69

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Solution

The third proportional to 9,633.94 and 20,953.69 is: 45,574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.94 : 20,953.69 = 20,953.69 : x
  2. Step 2: Convert to fraction form
    9,633.94/20,953.69 = 20,953.69/x
  3. Step 3: Cross multiply
    9,633.94x = 20,953.69 × 20,953.69
  4. Step 4: Simplify right side
    9,633.94x = 439,057,019.85
  5. Step 5: Solve for x
    x = 439,057,019.85/9,633.94
  6. Step 6: Final answer
    x = 45,574.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.