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Finding the Third Proportional to 2,567.11 and 5,613.05

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Solution

The third proportional to 2,567.11 and 5,613.05 is: 12,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.11 : 5,613.05 = 5,613.05 : x
  2. Step 2: Convert to fraction form
    2,567.11/5,613.05 = 5,613.05/x
  3. Step 3: Cross multiply
    2,567.11x = 5,613.05 × 5,613.05
  4. Step 4: Simplify right side
    2,567.11x = 31,506,295.22
  5. Step 5: Solve for x
    x = 31,506,295.22/2,567.11
  6. Step 6: Final answer
    x = 12,273.06

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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.