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Finding the Third Proportional to 9,591.75 and 20,926.88

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Solution

The third proportional to 9,591.75 and 20,926.88 is: 45,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.75 : 20,926.88 = 20,926.88 : x
  2. Step 2: Convert to fraction form
    9,591.75/20,926.88 = 20,926.88/x
  3. Step 3: Cross multiply
    9,591.75x = 20,926.88 × 20,926.88
  4. Step 4: Simplify right side
    9,591.75x = 437,934,097.27
  5. Step 5: Solve for x
    x = 437,934,097.27/9,591.75
  6. Step 6: Final answer
    x = 45,657.37

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1.5x scale

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.