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Finding the Third Proportional to 14,576.20 and 30,177.56

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Solution

The third proportional to 14,576.20 and 30,177.56 is: 62,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.20 : 30,177.56 = 30,177.56 : x
  2. Step 2: Convert to fraction form
    14,576.20/30,177.56 = 30,177.56/x
  3. Step 3: Cross multiply
    14,576.20x = 30,177.56 × 30,177.56
  4. Step 4: Simplify right side
    14,576.20x = 910,685,278.44
  5. Step 5: Solve for x
    x = 910,685,278.44/14,576.20
  6. Step 6: Final answer
    x = 62,477.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.