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Finding the Third Proportional to 13,292.86 and 20,216.46

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Solution

The third proportional to 13,292.86 and 20,216.46 is: 30,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,292.86 : 20,216.46 = 20,216.46 : x
  2. Step 2: Convert to fraction form
    13,292.86/20,216.46 = 20,216.46/x
  3. Step 3: Cross multiply
    13,292.86x = 20,216.46 × 20,216.46
  4. Step 4: Simplify right side
    13,292.86x = 408,705,292.84
  5. Step 5: Solve for x
    x = 408,705,292.84/13,292.86
  6. Step 6: Final answer
    x = 30,746.23

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.