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Finding the Third Proportional to 4,737.50 and 9,965.50

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Solution

The third proportional to 4,737.50 and 9,965.50 is: 20,962.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.50 : 9,965.50 = 9,965.50 : x
  2. Step 2: Convert to fraction form
    4,737.50/9,965.50 = 9,965.50/x
  3. Step 3: Cross multiply
    4,737.50x = 9,965.50 × 9,965.50
  4. Step 4: Simplify right side
    4,737.50x = 99,311,190.25
  5. Step 5: Solve for x
    x = 99,311,190.25/4,737.50
  6. Step 6: Final answer
    x = 20,962.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.