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Finding the Third Proportional to 20,715.75 and 22,416.75

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Solution

The third proportional to 20,715.75 and 22,416.75 is: 24,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715.75 : 22,416.75 = 22,416.75 : x
  2. Step 2: Convert to fraction form
    20,715.75/22,416.75 = 22,416.75/x
  3. Step 3: Cross multiply
    20,715.75x = 22,416.75 × 22,416.75
  4. Step 4: Simplify right side
    20,715.75x = 502,510,680.56
  5. Step 5: Solve for x
    x = 502,510,680.56/20,715.75
  6. Step 6: Final answer
    x = 24,257.42

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.