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Finding the Third Proportional to 20,771.16 and 45,301.78

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Solution

The third proportional to 20,771.16 and 45,301.78 is: 98,802.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,771.16 : 45,301.78 = 45,301.78 : x
  2. Step 2: Convert to fraction form
    20,771.16/45,301.78 = 45,301.78/x
  3. Step 3: Cross multiply
    20,771.16x = 45,301.78 × 45,301.78
  4. Step 4: Simplify right side
    20,771.16x = 2,052,251,384.42
  5. Step 5: Solve for x
    x = 2,052,251,384.42/20,771.16
  6. Step 6: Final answer
    x = 98,802.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.