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Finding the Third Proportional to 3,596 and 4,797.50

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Solution

The third proportional to 3,596 and 4,797.50 is: 6,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596 : 4,797.50 = 4,797.50 : x
  2. Step 2: Convert to fraction form
    3,596/4,797.50 = 4,797.50/x
  3. Step 3: Cross multiply
    3,596x = 4,797.50 × 4,797.50
  4. Step 4: Simplify right side
    3,596x = 23,016,006.25
  5. Step 5: Solve for x
    x = 23,016,006.25/3,596
  6. Step 6: Final answer
    x = 6,400.45

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.