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Finding the Third Proportional to 17,516 and 26,213

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Solution

The third proportional to 17,516 and 26,213 is: 39,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,516 : 26,213 = 26,213 : x
  2. Step 2: Convert to fraction form
    17,516/26,213 = 26,213/x
  3. Step 3: Cross multiply
    17,516x = 26,213 × 26,213
  4. Step 4: Simplify right side
    17,516x = 687,121,369
  5. Step 5: Solve for x
    x = 687,121,369/17,516
  6. Step 6: Final answer
    x = 39,228.21

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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.