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Finding the Third Proportional to 7,704 and 11,882.63

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Solution

The third proportional to 7,704 and 11,882.63 is: 18,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704 : 11,882.63 = 11,882.63 : x
  2. Step 2: Convert to fraction form
    7,704/11,882.63 = 11,882.63/x
  3. Step 3: Cross multiply
    7,704x = 11,882.63 × 11,882.63
  4. Step 4: Simplify right side
    7,704x = 141,196,776.89
  5. Step 5: Solve for x
    x = 141,196,776.89/7,704
  6. Step 6: Final answer
    x = 18,327.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.