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Finding the Third Proportional to 11,562.75 and 12,777.75

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Solution

The third proportional to 11,562.75 and 12,777.75 is: 14,120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.75 : 12,777.75 = 12,777.75 : x
  2. Step 2: Convert to fraction form
    11,562.75/12,777.75 = 12,777.75/x
  3. Step 3: Cross multiply
    11,562.75x = 12,777.75 × 12,777.75
  4. Step 4: Simplify right side
    11,562.75x = 163,270,895.06
  5. Step 5: Solve for x
    x = 163,270,895.06/11,562.75
  6. Step 6: Final answer
    x = 14,120.42

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.