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Finding the Third Proportional to 5,037.75 and 5,554.13

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Solution

The third proportional to 5,037.75 and 5,554.13 is: 6,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037.75 : 5,554.13 = 5,554.13 : x
  2. Step 2: Convert to fraction form
    5,037.75/5,554.13 = 5,554.13/x
  3. Step 3: Cross multiply
    5,037.75x = 5,554.13 × 5,554.13
  4. Step 4: Simplify right side
    5,037.75x = 30,848,304.52
  5. Step 5: Solve for x
    x = 30,848,304.52/5,037.75
  6. Step 6: Final answer
    x = 6,123.43

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.