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Finding the Third Proportional to 17,273 and 35,776

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Solution

The third proportional to 17,273 and 35,776 is: 74,099.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,273 : 35,776 = 35,776 : x
  2. Step 2: Convert to fraction form
    17,273/35,776 = 35,776/x
  3. Step 3: Cross multiply
    17,273x = 35,776 × 35,776
  4. Step 4: Simplify right side
    17,273x = 1,279,922,176
  5. Step 5: Solve for x
    x = 1,279,922,176/17,273
  6. Step 6: Final answer
    x = 74,099.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.