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Finding the Third Proportional to 21,066.96 and 31,540.64

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Solution

The third proportional to 21,066.96 and 31,540.64 is: 47,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,066.96 : 31,540.64 = 31,540.64 : x
  2. Step 2: Convert to fraction form
    21,066.96/31,540.64 = 31,540.64/x
  3. Step 3: Cross multiply
    21,066.96x = 31,540.64 × 31,540.64
  4. Step 4: Simplify right side
    21,066.96x = 994,812,011.04
  5. Step 5: Solve for x
    x = 994,812,011.04/21,066.96
  6. Step 6: Final answer
    x = 47,221.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.