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Finding the Third Proportional to 904.88 and 1,983.38

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Solution

The third proportional to 904.88 and 1,983.38 is: 4,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.88 : 1,983.38 = 1,983.38 : x
  2. Step 2: Convert to fraction form
    904.88/1,983.38 = 1,983.38/x
  3. Step 3: Cross multiply
    904.88x = 1,983.38 × 1,983.38
  4. Step 4: Simplify right side
    904.88x = 3,933,776.39
  5. Step 5: Solve for x
    x = 3,933,776.39/904.88
  6. Step 6: Final answer
    x = 4,347.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.