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Finding the Third Proportional to 39,176 and 59,682

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Solution

The third proportional to 39,176 and 59,682 is: 90,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,176 : 59,682 = 59,682 : x
  2. Step 2: Convert to fraction form
    39,176/59,682 = 59,682/x
  3. Step 3: Cross multiply
    39,176x = 59,682 × 59,682
  4. Step 4: Simplify right side
    39,176x = 3,561,941,124
  5. Step 5: Solve for x
    x = 3,561,941,124/39,176
  6. Step 6: Final answer
    x = 90,921.51

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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.