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Finding the Third Proportional to 27,622 and 42,482

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Solution

The third proportional to 27,622 and 42,482 is: 65,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,622 : 42,482 = 42,482 : x
  2. Step 2: Convert to fraction form
    27,622/42,482 = 42,482/x
  3. Step 3: Cross multiply
    27,622x = 42,482 × 42,482
  4. Step 4: Simplify right side
    27,622x = 1,804,720,324
  5. Step 5: Solve for x
    x = 1,804,720,324/27,622
  6. Step 6: Final answer
    x = 65,336.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.