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Finding the Third Proportional to 3,205.13 and 4,938.19

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Solution

The third proportional to 3,205.13 and 4,938.19 is: 7,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.13 : 4,938.19 = 4,938.19 : x
  2. Step 2: Convert to fraction form
    3,205.13/4,938.19 = 4,938.19/x
  3. Step 3: Cross multiply
    3,205.13x = 4,938.19 × 4,938.19
  4. Step 4: Simplify right side
    3,205.13x = 24,385,695.79
  5. Step 5: Solve for x
    x = 24,385,695.79/3,205.13
  6. Step 6: Final answer
    x = 7,608.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.