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Finding the Third Proportional to 2,012.81 and 4,403.63

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Solution

The third proportional to 2,012.81 and 4,403.63 is: 9,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012.81 : 4,403.63 = 4,403.63 : x
  2. Step 2: Convert to fraction form
    2,012.81/4,403.63 = 4,403.63/x
  3. Step 3: Cross multiply
    2,012.81x = 4,403.63 × 4,403.63
  4. Step 4: Simplify right side
    2,012.81x = 19,391,913.14
  5. Step 5: Solve for x
    x = 19,391,913.14/2,012.81
  6. Step 6: Final answer
    x = 9,634.24

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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.