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Finding the Third Proportional to 14,516 and 17,828

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Solution

The third proportional to 14,516 and 17,828 is: 21,895.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516 : 17,828 = 17,828 : x
  2. Step 2: Convert to fraction form
    14,516/17,828 = 17,828/x
  3. Step 3: Cross multiply
    14,516x = 17,828 × 17,828
  4. Step 4: Simplify right side
    14,516x = 317,837,584
  5. Step 5: Solve for x
    x = 317,837,584/14,516
  6. Step 6: Final answer
    x = 21,895.67

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.