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Finding the Third Proportional to 2,205.75 and 4,731.25

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Solution

The third proportional to 2,205.75 and 4,731.25 is: 10,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.75 : 4,731.25 = 4,731.25 : x
  2. Step 2: Convert to fraction form
    2,205.75/4,731.25 = 4,731.25/x
  3. Step 3: Cross multiply
    2,205.75x = 4,731.25 × 4,731.25
  4. Step 4: Simplify right side
    2,205.75x = 22,384,726.56
  5. Step 5: Solve for x
    x = 22,384,726.56/2,205.75
  6. Step 6: Final answer
    x = 10,148.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.