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Finding the Third Proportional to 1,123.88 and 2,302.31

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Solution

The third proportional to 1,123.88 and 2,302.31 is: 4,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.88 : 2,302.31 = 2,302.31 : x
  2. Step 2: Convert to fraction form
    1,123.88/2,302.31 = 2,302.31/x
  3. Step 3: Cross multiply
    1,123.88x = 2,302.31 × 2,302.31
  4. Step 4: Simplify right side
    1,123.88x = 5,300,642.85
  5. Step 5: Solve for x
    x = 5,300,642.85/1,123.88
  6. Step 6: Final answer
    x = 4,716.40

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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.