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Finding the Third Proportional to 4,884.50 and 7,235.25

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Solution

The third proportional to 4,884.50 and 7,235.25 is: 10,717.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.50 : 7,235.25 = 7,235.25 : x
  2. Step 2: Convert to fraction form
    4,884.50/7,235.25 = 7,235.25/x
  3. Step 3: Cross multiply
    4,884.50x = 7,235.25 × 7,235.25
  4. Step 4: Simplify right side
    4,884.50x = 52,348,842.56
  5. Step 5: Solve for x
    x = 52,348,842.56/4,884.50
  6. Step 6: Final answer
    x = 10,717.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.