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Finding the Third Proportional to 12,711.94 and 16,250.63

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Solution

The third proportional to 12,711.94 and 16,250.63 is: 20,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.94 : 16,250.63 = 16,250.63 : x
  2. Step 2: Convert to fraction form
    12,711.94/16,250.63 = 16,250.63/x
  3. Step 3: Cross multiply
    12,711.94x = 16,250.63 × 16,250.63
  4. Step 4: Simplify right side
    12,711.94x = 264,082,812.89
  5. Step 5: Solve for x
    x = 264,082,812.89/12,711.94
  6. Step 6: Final answer
    x = 20,774.40

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.