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Finding the Third Proportional to 28,180 and 59,504

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Solution

The third proportional to 28,180 and 59,504 is: 125,646.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,180 : 59,504 = 59,504 : x
  2. Step 2: Convert to fraction form
    28,180/59,504 = 59,504/x
  3. Step 3: Cross multiply
    28,180x = 59,504 × 59,504
  4. Step 4: Simplify right side
    28,180x = 3,540,726,016
  5. Step 5: Solve for x
    x = 3,540,726,016/28,180
  6. Step 6: Final answer
    x = 125,646.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.