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Finding the Third Proportional to 924.25 and 1,996.63

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Solution

The third proportional to 924.25 and 1,996.63 is: 4,313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.25 : 1,996.63 = 1,996.63 : x
  2. Step 2: Convert to fraction form
    924.25/1,996.63 = 1,996.63/x
  3. Step 3: Cross multiply
    924.25x = 1,996.63 × 1,996.63
  4. Step 4: Simplify right side
    924.25x = 3,986,511.39
  5. Step 5: Solve for x
    x = 3,986,511.39/924.25
  6. Step 6: Final answer
    x = 4,313.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.