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Finding the Third Proportional to 2,553.75 and 4,037.63

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Solution

The third proportional to 2,553.75 and 4,037.63 is: 6,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,553.75 : 4,037.63 = 4,037.63 : x
  2. Step 2: Convert to fraction form
    2,553.75/4,037.63 = 4,037.63/x
  3. Step 3: Cross multiply
    2,553.75x = 4,037.63 × 4,037.63
  4. Step 4: Simplify right side
    2,553.75x = 16,302,415.64
  5. Step 5: Solve for x
    x = 16,302,415.64/2,553.75
  6. Step 6: Final answer
    x = 6,383.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.