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Finding the Third Proportional to 17,288.25 and 35,210.63

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Solution

The third proportional to 17,288.25 and 35,210.63 is: 71,712.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,288.25 : 35,210.63 = 35,210.63 : x
  2. Step 2: Convert to fraction form
    17,288.25/35,210.63 = 35,210.63/x
  3. Step 3: Cross multiply
    17,288.25x = 35,210.63 × 35,210.63
  4. Step 4: Simplify right side
    17,288.25x = 1,239,788,112.89
  5. Step 5: Solve for x
    x = 1,239,788,112.89/17,288.25
  6. Step 6: Final answer
    x = 71,712.76

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.