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Finding the Third Proportional to 8,534.81 and 18,455.06

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Solution

The third proportional to 8,534.81 and 18,455.06 is: 39,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.81 : 18,455.06 = 18,455.06 : x
  2. Step 2: Convert to fraction form
    8,534.81/18,455.06 = 18,455.06/x
  3. Step 3: Cross multiply
    8,534.81x = 18,455.06 × 18,455.06
  4. Step 4: Simplify right side
    8,534.81x = 340,589,331.88
  5. Step 5: Solve for x
    x = 340,589,331.88/8,534.81
  6. Step 6: Final answer
    x = 39,905.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.