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Finding the Third Proportional to 2,021.63 and 4,316.63

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Solution

The third proportional to 2,021.63 and 4,316.63 is: 9,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.63 : 4,316.63 = 4,316.63 : x
  2. Step 2: Convert to fraction form
    2,021.63/4,316.63 = 4,316.63/x
  3. Step 3: Cross multiply
    2,021.63x = 4,316.63 × 4,316.63
  4. Step 4: Simplify right side
    2,021.63x = 18,633,251.39
  5. Step 5: Solve for x
    x = 18,633,251.39/2,021.63
  6. Step 6: Final answer
    x = 9,216.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.