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Finding the Third Proportional to 20,740 and 43,506

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Solution

The third proportional to 20,740 and 43,506 is: 91,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,740 : 43,506 = 43,506 : x
  2. Step 2: Convert to fraction form
    20,740/43,506 = 43,506/x
  3. Step 3: Cross multiply
    20,740x = 43,506 × 43,506
  4. Step 4: Simplify right side
    20,740x = 1,892,772,036
  5. Step 5: Solve for x
    x = 1,892,772,036/20,740
  6. Step 6: Final answer
    x = 91,261.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.