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Finding the Third Proportional to 7,254.56 and 12,933.42

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Solution

The third proportional to 7,254.56 and 12,933.42 is: 23,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.56 : 12,933.42 = 12,933.42 : x
  2. Step 2: Convert to fraction form
    7,254.56/12,933.42 = 12,933.42/x
  3. Step 3: Cross multiply
    7,254.56x = 12,933.42 × 12,933.42
  4. Step 4: Simplify right side
    7,254.56x = 167,273,401.40
  5. Step 5: Solve for x
    x = 167,273,401.40/7,254.56
  6. Step 6: Final answer
    x = 23,057.68

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.