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Finding the Third Proportional to 1,805.41 and 3,123.88

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Solution

The third proportional to 1,805.41 and 3,123.88 is: 5,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.41 : 3,123.88 = 3,123.88 : x
  2. Step 2: Convert to fraction form
    1,805.41/3,123.88 = 3,123.88/x
  3. Step 3: Cross multiply
    1,805.41x = 3,123.88 × 3,123.88
  4. Step 4: Simplify right side
    1,805.41x = 9,758,619.42
  5. Step 5: Solve for x
    x = 9,758,619.42/1,805.41
  6. Step 6: Final answer
    x = 5,405.20

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.