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Finding the Third Proportional to 9,715.50 and 20,814.75

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Solution

The third proportional to 9,715.50 and 20,814.75 is: 44,594.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.50 : 20,814.75 = 20,814.75 : x
  2. Step 2: Convert to fraction form
    9,715.50/20,814.75 = 20,814.75/x
  3. Step 3: Cross multiply
    9,715.50x = 20,814.75 × 20,814.75
  4. Step 4: Simplify right side
    9,715.50x = 433,253,817.56
  5. Step 5: Solve for x
    x = 433,253,817.56/9,715.50
  6. Step 6: Final answer
    x = 44,594.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.