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Finding the Third Proportional to 17,276 and 35,642.50

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Solution

The third proportional to 17,276 and 35,642.50 is: 73,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,276 : 35,642.50 = 35,642.50 : x
  2. Step 2: Convert to fraction form
    17,276/35,642.50 = 35,642.50/x
  3. Step 3: Cross multiply
    17,276x = 35,642.50 × 35,642.50
  4. Step 4: Simplify right side
    17,276x = 1,270,387,806.25
  5. Step 5: Solve for x
    x = 1,270,387,806.25/17,276
  6. Step 6: Final answer
    x = 73,534.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.