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Finding the Third Proportional to 1,123.40 and 2,369.07

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Solution

The third proportional to 1,123.40 and 2,369.07 is: 4,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.40 : 2,369.07 = 2,369.07 : x
  2. Step 2: Convert to fraction form
    1,123.40/2,369.07 = 2,369.07/x
  3. Step 3: Cross multiply
    1,123.40x = 2,369.07 × 2,369.07
  4. Step 4: Simplify right side
    1,123.40x = 5,612,502.24
  5. Step 5: Solve for x
    x = 5,612,502.24/1,123.40
  6. Step 6: Final answer
    x = 4,995.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.