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Finding the Third Proportional to 12,997.50 and 20,116.88

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Solution

The third proportional to 12,997.50 and 20,116.88 is: 31,135.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.50 : 20,116.88 = 20,116.88 : x
  2. Step 2: Convert to fraction form
    12,997.50/20,116.88 = 20,116.88/x
  3. Step 3: Cross multiply
    12,997.50x = 20,116.88 × 20,116.88
  4. Step 4: Simplify right side
    12,997.50x = 404,688,659.77
  5. Step 5: Solve for x
    x = 404,688,659.77/12,997.50
  6. Step 6: Final answer
    x = 31,135.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.