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Finding the Third Proportional to 2,073.09 and 4,567.64

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Solution

The third proportional to 2,073.09 and 4,567.64 is: 10,063.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.09 : 4,567.64 = 4,567.64 : x
  2. Step 2: Convert to fraction form
    2,073.09/4,567.64 = 4,567.64/x
  3. Step 3: Cross multiply
    2,073.09x = 4,567.64 × 4,567.64
  4. Step 4: Simplify right side
    2,073.09x = 20,863,340.88
  5. Step 5: Solve for x
    x = 20,863,340.88/2,073.09
  6. Step 6: Final answer
    x = 10,063.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.