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Finding the Third Proportional to 7,233.50 and 10,927.75

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Solution

The third proportional to 7,233.50 and 10,927.75 is: 16,508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.50 : 10,927.75 = 10,927.75 : x
  2. Step 2: Convert to fraction form
    7,233.50/10,927.75 = 10,927.75/x
  3. Step 3: Cross multiply
    7,233.50x = 10,927.75 × 10,927.75
  4. Step 4: Simplify right side
    7,233.50x = 119,415,720.06
  5. Step 5: Solve for x
    x = 119,415,720.06/7,233.50
  6. Step 6: Final answer
    x = 16,508.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.