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Finding the Third Proportional to 5,671.88 and 8,309.63

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Solution

The third proportional to 5,671.88 and 8,309.63 is: 12,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.88 : 8,309.63 = 8,309.63 : x
  2. Step 2: Convert to fraction form
    5,671.88/8,309.63 = 8,309.63/x
  3. Step 3: Cross multiply
    5,671.88x = 8,309.63 × 8,309.63
  4. Step 4: Simplify right side
    5,671.88x = 69,049,867.64
  5. Step 5: Solve for x
    x = 69,049,867.64/5,671.88
  6. Step 6: Final answer
    x = 12,174.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.