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Finding the Third Proportional to 7,614.63 and 12,609.42

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Solution

The third proportional to 7,614.63 and 12,609.42 is: 20,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.63 : 12,609.42 = 12,609.42 : x
  2. Step 2: Convert to fraction form
    7,614.63/12,609.42 = 12,609.42/x
  3. Step 3: Cross multiply
    7,614.63x = 12,609.42 × 12,609.42
  4. Step 4: Simplify right side
    7,614.63x = 158,997,520.02
  5. Step 5: Solve for x
    x = 158,997,520.02/7,614.63
  6. Step 6: Final answer
    x = 20,880.52

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.