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Finding the Third Proportional to 13,574 and 20,622

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Solution

The third proportional to 13,574 and 20,622 is: 31,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574 : 20,622 = 20,622 : x
  2. Step 2: Convert to fraction form
    13,574/20,622 = 20,622/x
  3. Step 3: Cross multiply
    13,574x = 20,622 × 20,622
  4. Step 4: Simplify right side
    13,574x = 425,266,884
  5. Step 5: Solve for x
    x = 425,266,884/13,574
  6. Step 6: Final answer
    x = 31,329.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.