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Finding the Third Proportional to 6,566.81 and 14,591.63

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Solution

The third proportional to 6,566.81 and 14,591.63 is: 32,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.81 : 14,591.63 = 14,591.63 : x
  2. Step 2: Convert to fraction form
    6,566.81/14,591.63 = 14,591.63/x
  3. Step 3: Cross multiply
    6,566.81x = 14,591.63 × 14,591.63
  4. Step 4: Simplify right side
    6,566.81x = 212,915,520.14
  5. Step 5: Solve for x
    x = 212,915,520.14/6,566.81
  6. Step 6: Final answer
    x = 32,422.96

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.