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Finding the Third Proportional to 8,445.94 and 12,166.03

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Solution

The third proportional to 8,445.94 and 12,166.03 is: 17,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,445.94 : 12,166.03 = 12,166.03 : x
  2. Step 2: Convert to fraction form
    8,445.94/12,166.03 = 12,166.03/x
  3. Step 3: Cross multiply
    8,445.94x = 12,166.03 × 12,166.03
  4. Step 4: Simplify right side
    8,445.94x = 148,012,316.38
  5. Step 5: Solve for x
    x = 148,012,316.38/8,445.94
  6. Step 6: Final answer
    x = 17,524.68

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.