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Finding the Third Proportional to 28,017 and 59,777

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Solution

The third proportional to 28,017 and 59,777 is: 127,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,017 : 59,777 = 59,777 : x
  2. Step 2: Convert to fraction form
    28,017/59,777 = 59,777/x
  3. Step 3: Cross multiply
    28,017x = 59,777 × 59,777
  4. Step 4: Simplify right side
    28,017x = 3,573,289,729
  5. Step 5: Solve for x
    x = 3,573,289,729/28,017
  6. Step 6: Final answer
    x = 127,540.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.