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Finding the Third Proportional to 11,576.06 and 17,295.56

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Solution

The third proportional to 11,576.06 and 17,295.56 is: 25,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.06 : 17,295.56 = 17,295.56 : x
  2. Step 2: Convert to fraction form
    11,576.06/17,295.56 = 17,295.56/x
  3. Step 3: Cross multiply
    11,576.06x = 17,295.56 × 17,295.56
  4. Step 4: Simplify right side
    11,576.06x = 299,136,482.19
  5. Step 5: Solve for x
    x = 299,136,482.19/11,576.06
  6. Step 6: Final answer
    x = 25,840.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.