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Finding the Third Proportional to 14,558.50 and 21,815

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Solution

The third proportional to 14,558.50 and 21,815 is: 32,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,558.50 : 21,815 = 21,815 : x
  2. Step 2: Convert to fraction form
    14,558.50/21,815 = 21,815/x
  3. Step 3: Cross multiply
    14,558.50x = 21,815 × 21,815
  4. Step 4: Simplify right side
    14,558.50x = 475,894,225
  5. Step 5: Solve for x
    x = 475,894,225/14,558.50
  6. Step 6: Final answer
    x = 32,688.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.