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Finding the Third Proportional to 7,697.11 and 11,885.48

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Solution

The third proportional to 7,697.11 and 11,885.48 is: 18,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.11 : 11,885.48 = 11,885.48 : x
  2. Step 2: Convert to fraction form
    7,697.11/11,885.48 = 11,885.48/x
  3. Step 3: Cross multiply
    7,697.11x = 11,885.48 × 11,885.48
  4. Step 4: Simplify right side
    7,697.11x = 141,264,738.83
  5. Step 5: Solve for x
    x = 141,264,738.83/7,697.11
  6. Step 6: Final answer
    x = 18,352.96

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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.