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Finding the Third Proportional to 8,771.63 and 13,633.31

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Solution

The third proportional to 8,771.63 and 13,633.31 is: 21,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.63 : 13,633.31 = 13,633.31 : x
  2. Step 2: Convert to fraction form
    8,771.63/13,633.31 = 13,633.31/x
  3. Step 3: Cross multiply
    8,771.63x = 13,633.31 × 13,633.31
  4. Step 4: Simplify right side
    8,771.63x = 185,867,209.72
  5. Step 5: Solve for x
    x = 185,867,209.72/8,771.63
  6. Step 6: Final answer
    x = 21,189.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.