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Finding the Third Proportional to 17,182.13 and 35,457.75

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Solution

The third proportional to 17,182.13 and 35,457.75 is: 73,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.13 : 35,457.75 = 35,457.75 : x
  2. Step 2: Convert to fraction form
    17,182.13/35,457.75 = 35,457.75/x
  3. Step 3: Cross multiply
    17,182.13x = 35,457.75 × 35,457.75
  4. Step 4: Simplify right side
    17,182.13x = 1,257,252,035.06
  5. Step 5: Solve for x
    x = 1,257,252,035.06/17,182.13
  6. Step 6: Final answer
    x = 73,172.09

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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.