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Finding the Third Proportional to 8,751.38 and 11,790.56

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Solution

The third proportional to 8,751.38 and 11,790.56 is: 15,885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,751.38 : 11,790.56 = 11,790.56 : x
  2. Step 2: Convert to fraction form
    8,751.38/11,790.56 = 11,790.56/x
  3. Step 3: Cross multiply
    8,751.38x = 11,790.56 × 11,790.56
  4. Step 4: Simplify right side
    8,751.38x = 139,017,364.07
  5. Step 5: Solve for x
    x = 139,017,364.07/8,751.38
  6. Step 6: Final answer
    x = 15,885.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.