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Finding the Third Proportional to 8,329.50 and 20,823.75

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Solution

The third proportional to 8,329.50 and 20,823.75 is: 52,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.50 : 20,823.75 = 20,823.75 : x
  2. Step 2: Convert to fraction form
    8,329.50/20,823.75 = 20,823.75/x
  3. Step 3: Cross multiply
    8,329.50x = 20,823.75 × 20,823.75
  4. Step 4: Simplify right side
    8,329.50x = 433,628,564.06
  5. Step 5: Solve for x
    x = 433,628,564.06/8,329.50
  6. Step 6: Final answer
    x = 52,059.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.