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Finding the Third Proportional to 12,997.50 and 20,931.75

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Solution

The third proportional to 12,997.50 and 20,931.75 is: 33,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.50 : 20,931.75 = 20,931.75 : x
  2. Step 2: Convert to fraction form
    12,997.50/20,931.75 = 20,931.75/x
  3. Step 3: Cross multiply
    12,997.50x = 20,931.75 × 20,931.75
  4. Step 4: Simplify right side
    12,997.50x = 438,138,158.06
  5. Step 5: Solve for x
    x = 438,138,158.06/12,997.50
  6. Step 6: Final answer
    x = 33,709.42

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.