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Finding the Third Proportional to 17,702 and 26,516

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Solution

The third proportional to 17,702 and 26,516 is: 39,718.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702 : 26,516 = 26,516 : x
  2. Step 2: Convert to fraction form
    17,702/26,516 = 26,516/x
  3. Step 3: Cross multiply
    17,702x = 26,516 × 26,516
  4. Step 4: Simplify right side
    17,702x = 703,098,256
  5. Step 5: Solve for x
    x = 703,098,256/17,702
  6. Step 6: Final answer
    x = 39,718.58

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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.