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Finding the Third Proportional to 9,451.59 and 20,632.59

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Solution

The third proportional to 9,451.59 and 20,632.59 is: 45,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.59 : 20,632.59 = 20,632.59 : x
  2. Step 2: Convert to fraction form
    9,451.59/20,632.59 = 20,632.59/x
  3. Step 3: Cross multiply
    9,451.59x = 20,632.59 × 20,632.59
  4. Step 4: Simplify right side
    9,451.59x = 425,703,924.85
  5. Step 5: Solve for x
    x = 425,703,924.85/9,451.59
  6. Step 6: Final answer
    x = 45,040.44

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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.