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Finding the Third Proportional to 7,849.13 and 12,209.63

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Solution

The third proportional to 7,849.13 and 12,209.63 is: 18,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.13 : 12,209.63 = 12,209.63 : x
  2. Step 2: Convert to fraction form
    7,849.13/12,209.63 = 12,209.63/x
  3. Step 3: Cross multiply
    7,849.13x = 12,209.63 × 12,209.63
  4. Step 4: Simplify right side
    7,849.13x = 149,074,942.64
  5. Step 5: Solve for x
    x = 149,074,942.64/7,849.13
  6. Step 6: Final answer
    x = 18,992.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.