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Finding the Third Proportional to 5,683.92 and 12,400.59

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Solution

The third proportional to 5,683.92 and 12,400.59 is: 27,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.92 : 12,400.59 = 12,400.59 : x
  2. Step 2: Convert to fraction form
    5,683.92/12,400.59 = 12,400.59/x
  3. Step 3: Cross multiply
    5,683.92x = 12,400.59 × 12,400.59
  4. Step 4: Simplify right side
    5,683.92x = 153,774,725.35
  5. Step 5: Solve for x
    x = 153,774,725.35/5,683.92
  6. Step 6: Final answer
    x = 27,054.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.