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Finding the Third Proportional to 8,037 and 20,821.50

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Solution

The third proportional to 8,037 and 20,821.50 is: 53,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,037 : 20,821.50 = 20,821.50 : x
  2. Step 2: Convert to fraction form
    8,037/20,821.50 = 20,821.50/x
  3. Step 3: Cross multiply
    8,037x = 20,821.50 × 20,821.50
  4. Step 4: Simplify right side
    8,037x = 433,534,862.25
  5. Step 5: Solve for x
    x = 433,534,862.25/8,037
  6. Step 6: Final answer
    x = 53,942.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.