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Finding the Third Proportional to 1,567.63 and 2,080.21

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Solution

The third proportional to 1,567.63 and 2,080.21 is: 2,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.63 : 2,080.21 = 2,080.21 : x
  2. Step 2: Convert to fraction form
    1,567.63/2,080.21 = 2,080.21/x
  3. Step 3: Cross multiply
    1,567.63x = 2,080.21 × 2,080.21
  4. Step 4: Simplify right side
    1,567.63x = 4,327,285.67
  5. Step 5: Solve for x
    x = 4,327,285.67/1,567.63
  6. Step 6: Final answer
    x = 2,760.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.