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Finding the Third Proportional to 2,232.56 and 4,581.56

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Solution

The third proportional to 2,232.56 and 4,581.56 is: 9,402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.56 : 4,581.56 = 4,581.56 : x
  2. Step 2: Convert to fraction form
    2,232.56/4,581.56 = 4,581.56/x
  3. Step 3: Cross multiply
    2,232.56x = 4,581.56 × 4,581.56
  4. Step 4: Simplify right side
    2,232.56x = 20,990,714.94
  5. Step 5: Solve for x
    x = 20,990,714.94/2,232.56
  6. Step 6: Final answer
    x = 9,402.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.