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Finding the Third Proportional to 17,582.25 and 35,817

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Solution

The third proportional to 17,582.25 and 35,817 is: 72,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.25 : 35,817 = 35,817 : x
  2. Step 2: Convert to fraction form
    17,582.25/35,817 = 35,817/x
  3. Step 3: Cross multiply
    17,582.25x = 35,817 × 35,817
  4. Step 4: Simplify right side
    17,582.25x = 1,282,857,489
  5. Step 5: Solve for x
    x = 1,282,857,489/17,582.25
  6. Step 6: Final answer
    x = 72,963.22

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Why These Related Problems?

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