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Finding the Third Proportional to 4,297.50 and 4,639.50

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Solution

The third proportional to 4,297.50 and 4,639.50 is: 5,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.50 : 4,639.50 = 4,639.50 : x
  2. Step 2: Convert to fraction form
    4,297.50/4,639.50 = 4,639.50/x
  3. Step 3: Cross multiply
    4,297.50x = 4,639.50 × 4,639.50
  4. Step 4: Simplify right side
    4,297.50x = 21,524,960.25
  5. Step 5: Solve for x
    x = 21,524,960.25/4,297.50
  6. Step 6: Final answer
    x = 5,008.72

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.