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Finding the Third Proportional to 39,467 and 59,610

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Solution

The third proportional to 39,467 and 59,610 is: 90,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,467 : 59,610 = 59,610 : x
  2. Step 2: Convert to fraction form
    39,467/59,610 = 59,610/x
  3. Step 3: Cross multiply
    39,467x = 59,610 × 59,610
  4. Step 4: Simplify right side
    39,467x = 3,553,352,100
  5. Step 5: Solve for x
    x = 3,553,352,100/39,467
  6. Step 6: Final answer
    x = 90,033.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.