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Finding the Third Proportional to 17,188 and 36,409

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Solution

The third proportional to 17,188 and 36,409 is: 77,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,188 : 36,409 = 36,409 : x
  2. Step 2: Convert to fraction form
    17,188/36,409 = 36,409/x
  3. Step 3: Cross multiply
    17,188x = 36,409 × 36,409
  4. Step 4: Simplify right side
    17,188x = 1,325,615,281
  5. Step 5: Solve for x
    x = 1,325,615,281/17,188
  6. Step 6: Final answer
    x = 77,124.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.