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Finding the Third Proportional to 7,946.44 and 13,515.19

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Solution

The third proportional to 7,946.44 and 13,515.19 is: 22,986.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.44 : 13,515.19 = 13,515.19 : x
  2. Step 2: Convert to fraction form
    7,946.44/13,515.19 = 13,515.19/x
  3. Step 3: Cross multiply
    7,946.44x = 13,515.19 × 13,515.19
  4. Step 4: Simplify right side
    7,946.44x = 182,660,293.16
  5. Step 5: Solve for x
    x = 182,660,293.16/7,946.44
  6. Step 6: Final answer
    x = 22,986.44

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.