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Finding the Third Proportional to 5,880.09 and 12,683.46

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Solution

The third proportional to 5,880.09 and 12,683.46 is: 27,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.09 : 12,683.46 = 12,683.46 : x
  2. Step 2: Convert to fraction form
    5,880.09/12,683.46 = 12,683.46/x
  3. Step 3: Cross multiply
    5,880.09x = 12,683.46 × 12,683.46
  4. Step 4: Simplify right side
    5,880.09x = 160,870,181.35
  5. Step 5: Solve for x
    x = 160,870,181.35/5,880.09
  6. Step 6: Final answer
    x = 27,358.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.