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Finding the Third Proportional to 832.46 and 1,927.39

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Solution

The third proportional to 832.46 and 1,927.39 is: 4,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.46 : 1,927.39 = 1,927.39 : x
  2. Step 2: Convert to fraction form
    832.46/1,927.39 = 1,927.39/x
  3. Step 3: Cross multiply
    832.46x = 1,927.39 × 1,927.39
  4. Step 4: Simplify right side
    832.46x = 3,714,827.09
  5. Step 5: Solve for x
    x = 3,714,827.09/832.46
  6. Step 6: Final answer
    x = 4,462.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.