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Finding the Third Proportional to 6,750.84 and 12,195.56

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Solution

The third proportional to 6,750.84 and 12,195.56 is: 22,031.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.84 : 12,195.56 = 12,195.56 : x
  2. Step 2: Convert to fraction form
    6,750.84/12,195.56 = 12,195.56/x
  3. Step 3: Cross multiply
    6,750.84x = 12,195.56 × 12,195.56
  4. Step 4: Simplify right side
    6,750.84x = 148,731,744.69
  5. Step 5: Solve for x
    x = 148,731,744.69/6,750.84
  6. Step 6: Final answer
    x = 22,031.58

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.