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Finding the Third Proportional to 12,882.50 and 20,476

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Solution

The third proportional to 12,882.50 and 20,476 is: 32,545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.50 : 20,476 = 20,476 : x
  2. Step 2: Convert to fraction form
    12,882.50/20,476 = 20,476/x
  3. Step 3: Cross multiply
    12,882.50x = 20,476 × 20,476
  4. Step 4: Simplify right side
    12,882.50x = 419,266,576
  5. Step 5: Solve for x
    x = 419,266,576/12,882.50
  6. Step 6: Final answer
    x = 32,545.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.