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Finding the Third Proportional to 8,927.72 and 11,741.20

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Solution

The third proportional to 8,927.72 and 11,741.20 is: 15,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,927.72 : 11,741.20 = 11,741.20 : x
  2. Step 2: Convert to fraction form
    8,927.72/11,741.20 = 11,741.20/x
  3. Step 3: Cross multiply
    8,927.72x = 11,741.20 × 11,741.20
  4. Step 4: Simplify right side
    8,927.72x = 137,855,850.82
  5. Step 5: Solve for x
    x = 137,855,850.82/8,927.72
  6. Step 6: Final answer
    x = 15,441.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.