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Finding the Third Proportional to 7,378.50 and 17,832.75

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Solution

The third proportional to 7,378.50 and 17,832.75 is: 43,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.50 : 17,832.75 = 17,832.75 : x
  2. Step 2: Convert to fraction form
    7,378.50/17,832.75 = 17,832.75/x
  3. Step 3: Cross multiply
    7,378.50x = 17,832.75 × 17,832.75
  4. Step 4: Simplify right side
    7,378.50x = 318,006,972.56
  5. Step 5: Solve for x
    x = 318,006,972.56/7,378.50
  6. Step 6: Final answer
    x = 43,099.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.