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Finding the Third Proportional to 20,157.13 and 43,270.14

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Solution

The third proportional to 20,157.13 and 43,270.14 is: 92,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157.13 : 43,270.14 = 43,270.14 : x
  2. Step 2: Convert to fraction form
    20,157.13/43,270.14 = 43,270.14/x
  3. Step 3: Cross multiply
    20,157.13x = 43,270.14 × 43,270.14
  4. Step 4: Simplify right side
    20,157.13x = 1,872,304,731.66
  5. Step 5: Solve for x
    x = 1,872,304,731.66/20,157.13
  6. Step 6: Final answer
    x = 92,885.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.