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Finding the Third Proportional to 5,241.11 and 8,254.64

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Solution

The third proportional to 5,241.11 and 8,254.64 is: 13,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.11 : 8,254.64 = 8,254.64 : x
  2. Step 2: Convert to fraction form
    5,241.11/8,254.64 = 8,254.64/x
  3. Step 3: Cross multiply
    5,241.11x = 8,254.64 × 8,254.64
  4. Step 4: Simplify right side
    5,241.11x = 68,139,140.21
  5. Step 5: Solve for x
    x = 68,139,140.21/5,241.11
  6. Step 6: Final answer
    x = 13,000.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.