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Finding the Third Proportional to 671.44 and 1,037.63

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Solution

The third proportional to 671.44 and 1,037.63 is: 1,603.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.44 : 1,037.63 = 1,037.63 : x
  2. Step 2: Convert to fraction form
    671.44/1,037.63 = 1,037.63/x
  3. Step 3: Cross multiply
    671.44x = 1,037.63 × 1,037.63
  4. Step 4: Simplify right side
    671.44x = 1,076,665.64
  5. Step 5: Solve for x
    x = 1,076,665.64/671.44
  6. Step 6: Final answer
    x = 1,603.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.