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Finding the Third Proportional to 20,151 and 25,700

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Solution

The third proportional to 20,151 and 25,700 is: 32,777.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,151 : 25,700 = 25,700 : x
  2. Step 2: Convert to fraction form
    20,151/25,700 = 25,700/x
  3. Step 3: Cross multiply
    20,151x = 25,700 × 25,700
  4. Step 4: Simplify right side
    20,151x = 660,490,000
  5. Step 5: Solve for x
    x = 660,490,000/20,151
  6. Step 6: Final answer
    x = 32,777.03

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.