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Finding the Third Proportional to 7,209 and 12,876.75

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Solution

The third proportional to 7,209 and 12,876.75 is: 23,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209 : 12,876.75 = 12,876.75 : x
  2. Step 2: Convert to fraction form
    7,209/12,876.75 = 12,876.75/x
  3. Step 3: Cross multiply
    7,209x = 12,876.75 × 12,876.75
  4. Step 4: Simplify right side
    7,209x = 165,810,690.56
  5. Step 5: Solve for x
    x = 165,810,690.56/7,209
  6. Step 6: Final answer
    x = 23,000.51

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.