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Finding the Third Proportional to 9,402.01 and 20,011.43

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Solution

The third proportional to 9,402.01 and 20,011.43 is: 42,592.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.01 : 20,011.43 = 20,011.43 : x
  2. Step 2: Convert to fraction form
    9,402.01/20,011.43 = 20,011.43/x
  3. Step 3: Cross multiply
    9,402.01x = 20,011.43 × 20,011.43
  4. Step 4: Simplify right side
    9,402.01x = 400,457,318.14
  5. Step 5: Solve for x
    x = 400,457,318.14/9,402.01
  6. Step 6: Final answer
    x = 42,592.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.