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Finding the Third Proportional to 1,142.02 and 2,495.39

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Solution

The third proportional to 1,142.02 and 2,495.39 is: 5,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.02 : 2,495.39 = 2,495.39 : x
  2. Step 2: Convert to fraction form
    1,142.02/2,495.39 = 2,495.39/x
  3. Step 3: Cross multiply
    1,142.02x = 2,495.39 × 2,495.39
  4. Step 4: Simplify right side
    1,142.02x = 6,226,974.37
  5. Step 5: Solve for x
    x = 6,226,974.37/1,142.02
  6. Step 6: Final answer
    x = 5,452.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.