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Finding the Third Proportional to 1,101.50 and 2,384.38

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Solution

The third proportional to 1,101.50 and 2,384.38 is: 5,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.50 : 2,384.38 = 2,384.38 : x
  2. Step 2: Convert to fraction form
    1,101.50/2,384.38 = 2,384.38/x
  3. Step 3: Cross multiply
    1,101.50x = 2,384.38 × 2,384.38
  4. Step 4: Simplify right side
    1,101.50x = 5,685,244.14
  5. Step 5: Solve for x
    x = 5,685,244.14/1,101.50
  6. Step 6: Final answer
    x = 5,161.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.