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Finding the Third Proportional to 39,201 and 59,622

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Solution

The third proportional to 39,201 and 59,622 is: 90,680.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,201 : 59,622 = 59,622 : x
  2. Step 2: Convert to fraction form
    39,201/59,622 = 59,622/x
  3. Step 3: Cross multiply
    39,201x = 59,622 × 59,622
  4. Step 4: Simplify right side
    39,201x = 3,554,782,884
  5. Step 5: Solve for x
    x = 3,554,782,884/39,201
  6. Step 6: Final answer
    x = 90,680.92

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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.