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Finding the Third Proportional to 13,026 and 20,157

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Solution

The third proportional to 13,026 and 20,157 is: 31,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026 : 20,157 = 20,157 : x
  2. Step 2: Convert to fraction form
    13,026/20,157 = 20,157/x
  3. Step 3: Cross multiply
    13,026x = 20,157 × 20,157
  4. Step 4: Simplify right side
    13,026x = 406,304,649
  5. Step 5: Solve for x
    x = 406,304,649/13,026
  6. Step 6: Final answer
    x = 31,191.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.