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Finding the Third Proportional to 20,084.63 and 41,090.63

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Solution

The third proportional to 20,084.63 and 41,090.63 is: 84,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084.63 : 41,090.63 = 41,090.63 : x
  2. Step 2: Convert to fraction form
    20,084.63/41,090.63 = 41,090.63/x
  3. Step 3: Cross multiply
    20,084.63x = 41,090.63 × 41,090.63
  4. Step 4: Simplify right side
    20,084.63x = 1,688,439,462.89
  5. Step 5: Solve for x
    x = 1,688,439,462.89/20,084.63
  6. Step 6: Final answer
    x = 84,066.27

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.