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Finding the Third Proportional to 9,468.56 and 20,089.69

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Solution

The third proportional to 9,468.56 and 20,089.69 is: 42,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.56 : 20,089.69 = 20,089.69 : x
  2. Step 2: Convert to fraction form
    9,468.56/20,089.69 = 20,089.69/x
  3. Step 3: Cross multiply
    9,468.56x = 20,089.69 × 20,089.69
  4. Step 4: Simplify right side
    9,468.56x = 403,595,543.85
  5. Step 5: Solve for x
    x = 403,595,543.85/9,468.56
  6. Step 6: Final answer
    x = 42,624.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.