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Finding the Third Proportional to 28,172 and 59,057

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Solution

The third proportional to 28,172 and 59,057 is: 123,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,172 : 59,057 = 59,057 : x
  2. Step 2: Convert to fraction form
    28,172/59,057 = 59,057/x
  3. Step 3: Cross multiply
    28,172x = 59,057 × 59,057
  4. Step 4: Simplify right side
    28,172x = 3,487,729,249
  5. Step 5: Solve for x
    x = 3,487,729,249/28,172
  6. Step 6: Final answer
    x = 123,801.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.