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Finding the Third Proportional to 20,157 and 28,660

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Solution

The third proportional to 20,157 and 28,660 is: 40,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157 : 28,660 = 28,660 : x
  2. Step 2: Convert to fraction form
    20,157/28,660 = 28,660/x
  3. Step 3: Cross multiply
    20,157x = 28,660 × 28,660
  4. Step 4: Simplify right side
    20,157x = 821,395,600
  5. Step 5: Solve for x
    x = 821,395,600/20,157
  6. Step 6: Final answer
    x = 40,749.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.