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Finding the Third Proportional to 28,066 and 42,172

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Solution

The third proportional to 28,066 and 42,172 is: 63,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,066 : 42,172 = 42,172 : x
  2. Step 2: Convert to fraction form
    28,066/42,172 = 42,172/x
  3. Step 3: Cross multiply
    28,066x = 42,172 × 42,172
  4. Step 4: Simplify right side
    28,066x = 1,778,477,584
  5. Step 5: Solve for x
    x = 1,778,477,584/28,066
  6. Step 6: Final answer
    x = 63,367.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.