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Finding the Third Proportional to 3,283.50 and 4,985.88

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Solution

The third proportional to 3,283.50 and 4,985.88 is: 7,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.50 : 4,985.88 = 4,985.88 : x
  2. Step 2: Convert to fraction form
    3,283.50/4,985.88 = 4,985.88/x
  3. Step 3: Cross multiply
    3,283.50x = 4,985.88 × 4,985.88
  4. Step 4: Simplify right side
    3,283.50x = 24,858,949.52
  5. Step 5: Solve for x
    x = 24,858,949.52/3,283.50
  6. Step 6: Final answer
    x = 7,570.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.