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Finding the Third Proportional to 7,812.50 and 12,425

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Solution

The third proportional to 7,812.50 and 12,425 is: 19,760.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.50 : 12,425 = 12,425 : x
  2. Step 2: Convert to fraction form
    7,812.50/12,425 = 12,425/x
  3. Step 3: Cross multiply
    7,812.50x = 12,425 × 12,425
  4. Step 4: Simplify right side
    7,812.50x = 154,380,625
  5. Step 5: Solve for x
    x = 154,380,625/7,812.50
  6. Step 6: Final answer
    x = 19,760.72

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.