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Finding the Third Proportional to 20,576.25 and 30,133.13

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Solution

The third proportional to 20,576.25 and 30,133.13 is: 44,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.25 : 30,133.13 = 30,133.13 : x
  2. Step 2: Convert to fraction form
    20,576.25/30,133.13 = 30,133.13/x
  3. Step 3: Cross multiply
    20,576.25x = 30,133.13 × 30,133.13
  4. Step 4: Simplify right side
    20,576.25x = 908,005,222.27
  5. Step 5: Solve for x
    x = 908,005,222.27/20,576.25
  6. Step 6: Final answer
    x = 44,128.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.