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Finding the Third Proportional to 495.14 and 1,037.97

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Solution

The third proportional to 495.14 and 1,037.97 is: 2,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.14 : 1,037.97 = 1,037.97 : x
  2. Step 2: Convert to fraction form
    495.14/1,037.97 = 1,037.97/x
  3. Step 3: Cross multiply
    495.14x = 1,037.97 × 1,037.97
  4. Step 4: Simplify right side
    495.14x = 1,077,383.18
  5. Step 5: Solve for x
    x = 1,077,383.18/495.14
  6. Step 6: Final answer
    x = 2,175.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.