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Finding the Third Proportional to 12,756.75 and 19,800.75

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Solution

The third proportional to 12,756.75 and 19,800.75 is: 30,734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.75 : 19,800.75 = 19,800.75 : x
  2. Step 2: Convert to fraction form
    12,756.75/19,800.75 = 19,800.75/x
  3. Step 3: Cross multiply
    12,756.75x = 19,800.75 × 19,800.75
  4. Step 4: Simplify right side
    12,756.75x = 392,069,700.56
  5. Step 5: Solve for x
    x = 392,069,700.56/12,756.75
  6. Step 6: Final answer
    x = 30,734.29

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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.